QuestionSolve the equation: $-3(x-4)+6=27$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $-3(x-4)+6=27$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the $-$ to both terms inside the parentheses.
$-(x-4)+6 = -x +12 +6$

STEP 3

implify the equation by combining like terms.
$-3x +12 +6 = -3x +18$

STEP 4

Now, we set the equation equal to $27$ .
$-3x +18 =27$

STEP 5

To isolate $x$ , we first need to get rid of the $18$ on the left side of the equation. We do this by subtracting $18$ from both sides of the equation.
$-3x +18 -18 =27 -18$

STEP 6

implify the equation.
$-3x =9$

STEP 7

Finally, to solve for $x$ , we divide both sides of the equation by $-3$ .
$x = \frac{9}{-3}$

STEP 8

implify to find the value of $x$ .
$x = -3$ So, the solution to the equation $-3(x-4)+6=27$ is $x = -3$ .

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QuestionSolve the equation: $-3(x-4)+6=27$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $-3(x-4)+6=27$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the $-$ to both terms inside the parentheses.
$-(x-4)+6 = -x +12 +6$

STEP 3

implify the equation by combining like terms.
$-3x +12 +6 = -3x +18$

STEP 4

Now, we set the equation equal to $27$ .
$-3x +18 =27$

STEP 5

To isolate $x$ , we first need to get rid of the $18$ on the left side of the equation. We do this by subtracting $18$ from both sides of the equation.
$-3x +18 -18 =27 -18$

STEP 6

implify the equation.
$-3x =9$

STEP 7

Finally, to solve for $x$ , we divide both sides of the equation by $-3$ .
$x = \frac{9}{-3}$

STEP 8

implify to find the value of $x$ .
$x = -3$ So, the solution to the equation $-3(x-4)+6=27$ is $x = -3$ .

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QuestionSolve the equation: −3(x−4)+6=27-3(x-4)+6=27−3(x−4)+6=27.

Studdy Solution

STEP 1

Assumptions1. The equation given is −3(x−4)+6=27-3(x-4)+6=27−3(x−4)+6=27 . We are solving for the variable xxx

STEP 2

First, we need to distribute the −-− to both terms inside the parentheses.−(x−4)+6=−x+12+6-(x-4)+6 = -x +12 +6−(x−4)+6=−x+12+6

STEP 3

implify the equation by combining like terms.−3x+12+6=−3x+18-3x +12 +6 = -3x +18−3x+12+6=−3x+18

STEP 4

Now, we set the equation equal to 272727.−3x+18=27-3x +18 =27−3x+18=27

STEP 5

To isolate xxx, we first need to get rid of the 181818 on the left side of the equation. We do this by subtracting 181818 from both sides of the equation.−3x+18−18=27−18-3x +18 -18 =27 -18−3x+18−18=27−18

STEP 6

implify the equation.−3x=9-3x =9−3x=9

STEP 7

Finally, to solve for xxx, we divide both sides of the equation by −3-3−3.x=9−3x = \frac{9}{-3}x=−39​

STEP 8

implify to find the value of xxx.x=−3x = -3x=−3So, the solution to the equation −3(x−4)+6=27-3(x-4)+6=27−3(x−4)+6=27 is x=−3x = -3x=−3.

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QuestionSolve the equation: $-3(x-4)+6=27$ .

Assumptions1. The equation given is $-3(x-4)+6=27$ . We are solving for the variable $x$

First, we need to distribute the $-$ to both terms inside the parentheses.
$-(x-4)+6 = -x +12 +6$

implify the equation by combining like terms.
$-3x +12 +6 = -3x +18$

Now, we set the equation equal to $27$ .
$-3x +18 =27$

To isolate $x$ , we first need to get rid of the $18$ on the left side of the equation. We do this by subtracting $18$ from both sides of the equation.
$-3x +18 -18 =27 -18$

implify the equation.
$-3x =9$

Finally, to solve for $x$ , we divide both sides of the equation by $-3$ .
$x = \frac{9}{-3}$

implify to find the value of $x$ .
$x = -3$ So, the solution to the equation $-3(x-4)+6=27$ is $x = -3$ .