QuestionSolve for $x$ : $4x + 2(4x + 3) = -18$ $x =$

Studdy Solution

STEP 1

Assumptions1. The equation is given as $4x +(4x +3) = -18$ . We are solving for $x$

STEP 2

First, we need to distribute the $2$ in the term $2(4x +)$ .
$4x +2(4x +) =4x +2 \cdot4x +2 \cdot$

STEP 3

Now, perform the multiplication operations.
x +2 \cdotx +2 \cdot3 =x +8x +6

STEP 4

Next, combine like terms on the left side of the equation.
$4x +8x +6 =12x +6$

STEP 5

Now, we have a simplified equation $12x + = -18$ . To isolate $x$ , we first need to remove the $from the left side of the equation. We can do this by subtracting$ from both sides of the equation.
$12x + - = -18 -$

STEP 6

Perform the subtraction operations.
$12x = -24$

STEP 7

Finally, to solve for $x$ , we need to divide both sides of the equation by $12$ .
$x = \frac{-24}{12}$

STEP 8

Perform the division operation to find the value of $x$ .
$x = -2$ So, the solution to the equation $4x +2(4x +3) = -18$ is $x = -2$ .

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