Question Solve the equation $-3(x+4)=2x+8$ to find the value of $x$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $-3(x+4)=x+8$ . We are looking for the value of $x$ that satisfies this equation

STEP 2

First, distribute the $-$ on the left side of the equation.
$-(x+4) = -x -12$ So the equation becomes $-x -12 =2x +8$

STEP 3

Next, we want to isolate $x$ terms on one side of the equation and constant terms on the other side. Let's start by adding $3x$ to both sides of the equation to get rid of $-3x$ on the left side.
$-3x +3x -12 =2x +3x +8$ This simplifies to $-12 =5x +8$

STEP 4

Now, subtract $8$ from both sides of the equation to isolate the $x$ term.
$-12 -8 =x +8 -8$ This simplifies to $-20 =x$

STEP 5

Finally, divide both sides of the equation by $5$ to solve for $x$ .
$\frac{-20}{5} = \frac{5x}{5}$ This simplifies to $x = -4$ So, the value of $x$ that satisfies the equation $-3(x+4)=2x+8$ is $-4$ .

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