Math / Algebra

QuestionSolve the equation by expressing 6) $3(3x - 6) = 27$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $x$ that makes the equation $3(3x - 6) = 27$ true. Watch out! Don't forget to apply the distributive property correctly and keep track of your signs!

STEP 2

1. Simplify the equation
2. Isolate the term with $x$
3. Solve for $x$

STEP 3

Alright, let's kick things off by distributing the $3$ on the left side of the equation.
Remember, this means multiplying the $3$ by both terms inside the parentheses.
So, $3 \cdot 3x = 9x$ and $3 \cdot (-6) = -18$ .
This gives us the simplified equation: $9x - 18 = 27$

STEP 4

To get the term with $x$ by itself, we need to move that $-18$ to the other side.
We can do this by adding $18$ to both sides of the equation.
Remember, what we do to one side, we must do to the other! $9x - 18 + 18 = 27 + 18$ $9x = 45$ See? Now our $x$ term is getting closer to being all alone!

STEP 5

Almost there!
Now, we have $9$ multiplied by $x$ .
To undo this multiplication and isolate $x$ , we'll divide both sides of the equation by $9$ . $\frac{9x}{9} = \frac{45}{9}$ $x = 5$ Boom! We've solved for $x$ !

STEP 6

Our final answer is $x = 5$ .

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QuestionSolve the equation by expressing 6) $3(3x - 6) = 27$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $x$ that makes the equation $3(3x - 6) = 27$ true. Watch out! Don't forget to apply the distributive property correctly and keep track of your signs!

STEP 2

1. Simplify the equation
2. Isolate the term with $x$
3. Solve for $x$

STEP 3

Alright, let's kick things off by distributing the $3$ on the left side of the equation.
Remember, this means multiplying the $3$ by both terms inside the parentheses.
So, $3 \cdot 3x = 9x$ and $3 \cdot (-6) = -18$ .
This gives us the simplified equation: $9x - 18 = 27$

STEP 4

To get the term with $x$ by itself, we need to move that $-18$ to the other side.
We can do this by adding $18$ to both sides of the equation.
Remember, what we do to one side, we must do to the other! $9x - 18 + 18 = 27 + 18$ $9x = 45$ See? Now our $x$ term is getting closer to being all alone!

STEP 5

Almost there!
Now, we have $9$ multiplied by $x$ .
To undo this multiplication and isolate $x$ , we'll divide both sides of the equation by $9$ . $\frac{9x}{9} = \frac{45}{9}$ $x = 5$ Boom! We've solved for $x$ !

STEP 6

Our final answer is $x = 5$ .

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QuestionSolve the equation by expressing 6) 3(3x−6)=273(3x - 6) = 273(3x−6)=27

Studdy Solution

STEP 1

What is this asking? We need to find the value of xxx that makes the equation 3(3x−6)=273(3x - 6) = 273(3x−6)=27 true. Watch out! Don't forget to apply the distributive property correctly and keep track of your signs!

STEP 2

1. Simplify the equation2. Isolate the term with xxx3. Solve for xxx

STEP 3

STEP 4

STEP 5

Almost there!Now, we have 999 multiplied by xxx.To **undo** this multiplication and **isolate** xxx, we'll divide *both* sides of the equation by 999. 9x9=459\frac{9x}{9} = \frac{45}{9}99x​=945​ x=5x = 5x=5Boom! We've **solved** for xxx!

STEP 6

Our **final answer** is x=5x = 5x=5.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation by expressing 6) $3(3x - 6) = 27$

What is this asking? We need to find the value of $x$ that makes the equation $3(3x - 6) = 27$ true. Watch out! Don't forget to apply the distributive property correctly and keep track of your signs!

1. Simplify the equation
2. Isolate the term with $x$
3. Solve for $x$

Almost there!
Now, we have $9$ multiplied by $x$ .
To undo this multiplication and isolate $x$ , we'll divide both sides of the equation by $9$ . $\frac{9x}{9} = \frac{45}{9}$ $x = 5$ Boom! We've solved for $x$ !

Our final answer is $x = 5$ .