Question

linear equations w/ distribution (lev 2) question solve for x -5(-2x - 5) - 2x - 2 = 15 answer attempt 1 out of 2

Explanation:

Step1: Distribute -5

\[

$$\begin{align*} -5(-2x - 5)-2x - 2&=15\\ (-5)\times(-2x)+(-5)\times(-5)-2x - 2&=15\\ 10x + 25-2x - 2&=15 \end{align*}$$

\]

Step2: Combine like - terms

\[

$$\begin{align*} (10x-2x)+(25 - 2)&=15\\ 8x+23&=15 \end{align*}$$

\]

Step3: Subtract 23 from both sides

\[

$$\begin{align*} 8x+23-23&=15 - 23\\ 8x&=-8 \end{align*}$$

\]

Step4: Divide both sides by 8

\[

$$\begin{align*} \frac{8x}{8}&=\frac{-8}{8}\\ x&=-1 \end{align*}$$

\]

Answer:

$x = - 1$