Question

linear equations w/ distribution (lev 2)
this is the only question in this section.
question
solve for x.
-2(-4x + 2) - 3x - 3 = 8

Explanation:

Step1: Expand the left - hand side using the distributive property

$$\begin{align*} -2(-4x + 2)-3x-3&=8\\ (-2)\times(-4x)+(-2)\times2-3x - 3&=8\\ 8x-4-3x-3&=8 \end{align*}$$

Step2: Combine like terms

$$\begin{align*} (8x-3x)+(-4 - 3)&=8\\ 5x-7&=8 \end{align*}$$

Step3: Isolate the variable term

Add \(7\) to both sides of the equation:

$$\begin{align*} 5x-7 + 7&=8+7\\ 5x&=15 \end{align*}$$

Step4: Solve for \(x\)

Divide both sides by \(5\):

$$\begin{align*} \frac{5x}{5}&=\frac{15}{5}\\ x&=3 \end{align*}$$

Answer:

\(x = 3\)