Question

linear equations w/ distribution (lev 2)
score: 4/5 penalty: none
question
solve for x.
2(4x + 1) + 2x + 4 = -44
answer attempt 1 out of 2
x =

Explanation:

Step1: Expand the equation

$$\begin{align*} 2(4x + 1)+2x + 4&=-44\\ 8x+2 + 2x+4&=-44 \end{align*}$$

Step2: Combine like terms

$$\begin{align*} (8x+2x)+(2 + 4)&=-44\\ 10x+6&=-44 \end{align*}$$

Step3: Isolate the term with \(x\)

Subtract \(6\) from both sides:

$$\begin{align*} 10x+6-6&=-44 - 6\\ 10x&=-50 \end{align*}$$

Step4: Solve for \(x\)

Divide both sides by \(10\):

$$\begin{align*} \frac{10x}{10}&=\frac{-50}{10}\\ x&=-3 \end{align*}$$

Answer:

\(x = -3\)