Question

linear equations w/ distribution (lev 2)
score: 0/4 penalty: none
question
solve for x.
4(2x - 1) + 4x - 4 = -32

Explanation:

Step1: Expand the expression

$$\begin{align*} 4(2x - 1)+4x - 4&=-32\\ 8x-4 + 4x-4&=-32 \end{align*}$$

Step2: Combine like terms

$$\begin{align*} (8x + 4x)+(-4-4)&=-32\\ 12x-8&=-32 \end{align*}$$

Step3: Add 8 to both sides

$$\begin{align*} 12x-8 + 8&=-32+8\\ 12x&=-24 \end{align*}$$

Step4: Divide both sides by 12

$$\begin{align*} \frac{12x}{12}&=\frac{-24}{12}\\ x&=-2 \end{align*}$$

Answer:

\(x = - 2\)