Math / Algebra

Question(5) $3 x-6=-9$

Studdy Solution

STEP 1

What is this asking? We need to find the mystery number $x$ that makes the equation $3x - 6 = -9$ true! Watch out! Don't forget about those negative numbers, they can be tricky!
A minus sign in front of a number changes its sign.

STEP 2

1. Isolate the term with $x$ .
2. Isolate $x$ .

STEP 3

We want to get that $x$ by itself!
First, let's get rid of the $-6$ on the left side.
Since it's being subtracted, we can add $6$ to both sides of the equation.
Remember, what we do to one side, we must do to the other to keep things balanced!
$3x - 6 + 6 = -9 + 6$

STEP 4

Now, $-6 + 6$ adds to zero, which is awesome because it simplifies things!
On the right side, $-9 + 6$ gives us $-3$ .
$3x = -3$

STEP 5

Now, $x$ is being multiplied by $3$ .
To get $x$ all alone, we need to divide both sides by $3$ .
Remember the golden rule: treat both sides equally!
$\frac{3x}{3} = \frac{-3}{3}$

STEP 6

On the left side, $3$ divided by $3$ is $1$ , leaving us with $1 \cdot x$ , or just $x$ !
On the right side, $-3$ divided by $3$ is $-1$ .
$x = -1$

STEP 7

So, the magical value of $x$ that makes our equation true is $x = -1$ !

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Question(5) $3 x-6=-9$

Studdy Solution

STEP 1

What is this asking? We need to find the mystery number $x$ that makes the equation $3x - 6 = -9$ true! Watch out! Don't forget about those negative numbers, they can be tricky!
A minus sign in front of a number changes its sign.

STEP 2

1. Isolate the term with $x$ .
2. Isolate $x$ .

STEP 3

We want to get that $x$ by itself!
First, let's get rid of the $-6$ on the left side.
Since it's being subtracted, we can add $6$ to both sides of the equation.
Remember, what we do to one side, we must do to the other to keep things balanced!
$3x - 6 + 6 = -9 + 6$

STEP 4

Now, $-6 + 6$ adds to zero, which is awesome because it simplifies things!
On the right side, $-9 + 6$ gives us $-3$ .
$3x = -3$

STEP 5

Now, $x$ is being multiplied by $3$ .
To get $x$ all alone, we need to divide both sides by $3$ .
Remember the golden rule: treat both sides equally!
$\frac{3x}{3} = \frac{-3}{3}$

STEP 6

On the left side, $3$ divided by $3$ is $1$ , leaving us with $1 \cdot x$ , or just $x$ !
On the right side, $-3$ divided by $3$ is $-1$ .
$x = -1$

STEP 7

So, the magical value of $x$ that makes our equation true is $x = -1$ !

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Question(5) 3x−6=−93 x-6=-93x−6=−9

Studdy Solution

STEP 1

What is this asking? We need to find the mystery number xxx that makes the equation 3x−6=−93x - 6 = -93x−6=−9 true! Watch out! Don't forget about those negative numbers, they can be tricky!A minus sign in front of a number changes its sign.

STEP 2

1. Isolate the term with xxx.2. Isolate xxx.

STEP 3

We want to get that xxx by itself!First, let's get rid of the −6-6−6 on the left side.Since it's being subtracted, we can add 666 to *both* sides of the equation.Remember, what we do to one side, we *must* do to the other to keep things balanced!3x−6+6=−9+63x - 6 + 6 = -9 + 63x−6+6=−9+6

STEP 4

Now, −6+6-6 + 6−6+6 adds to zero, which is awesome because it simplifies things!On the right side, −9+6-9 + 6−9+6 gives us −3-3−3.3x=−33x = -33x=−3

STEP 5

Now, xxx is being multiplied by 333.To get xxx all alone, we need to divide *both* sides by 333.Remember the golden rule: treat both sides equally!3x3=−33\frac{3x}{3} = \frac{-3}{3}33x​=3−3​

STEP 6

On the left side, 333 divided by 333 is 111, leaving us with 1⋅x1 \cdot x1⋅x, or just xxx!On the right side, −3-3−3 divided by 333 is −1-1−1.x=−1x = -1x=−1

STEP 7

So, the magical value of xxx that makes our equation true is x=−1x = -1x=−1!

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Question(5) $3 x-6=-9$

What is this asking? We need to find the mystery number $x$ that makes the equation $3x - 6 = -9$ true! Watch out! Don't forget about those negative numbers, they can be tricky!
A minus sign in front of a number changes its sign.

1. Isolate the term with $x$ .
2. Isolate $x$ .

We want to get that $x$ by itself!
First, let's get rid of the $-6$ on the left side.
Since it's being subtracted, we can add $6$ to both sides of the equation.
Remember, what we do to one side, we must do to the other to keep things balanced!
$3x - 6 + 6 = -9 + 6$

Now, $-6 + 6$ adds to zero, which is awesome because it simplifies things!
On the right side, $-9 + 6$ gives us $-3$ .
$3x = -3$

Now, $x$ is being multiplied by $3$ .
To get $x$ all alone, we need to divide both sides by $3$ .
Remember the golden rule: treat both sides equally!
$\frac{3x}{3} = \frac{-3}{3}$

On the left side, $3$ divided by $3$ is $1$ , leaving us with $1 \cdot x$ , or just $x$ !
On the right side, $-3$ divided by $3$ is $-1$ .
$x = -1$

So, the magical value of $x$ that makes our equation true is $x = -1$ !