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linear equations w/ distribution (lev 3) question solve for $x$: $-2=-1…

Question

linear equations w/ distribution (lev 3)
question
solve for $x$:
$-2=-10x-(9x + 2)$
answer
attempt 1 out of 2
$x=$

Explanation:

Step1: Remove the parentheses

$$\begin{align*} -2&=-10x - 9x-2\\ \end{align*}$$

Step2: Combine like terms

$$\begin{align*} -2&=(-10x - 9x)-2\\ -2&=-19x-2 \end{align*}$$

Step3: Add 2 to both sides

$$\begin{align*} -2 + 2&=-19x-2 + 2\\ 0&=-19x \end{align*}$$

Step4: Divide both sides by -19

$$\begin{align*} \frac{0}{-19}&=\frac{-19x}{-19}\\ 0&=x \end{align*}$$

Answer:

$x = 0$