Question

linear equations w/ distribution (lev 3)
question
solve for x:
5 - (2x + 2) = 4(x - 6)
answer
attempt 1 out of 2
x =

Explanation:

Step1: Remove parentheses

$$\begin{align*} 5-(2x + 2)&=4(x - 6)\\ 5-2x-2&=4x-24 \end{align*}$$

Step2: Simplify both sides

Left side: \(5 - 2=3\), so \(3-2x\).
Right side: remains \(4x - 24\).
Equation becomes \(3-2x=4x-24\).

Step3: Move variables to one side and constants to the other

Add \(2x\) to both sides: \(3=4x + 2x-24\), i.e., \(3 = 6x-24\).
Add \(24\) to both sides: \(3+24=6x\), so \(27 = 6x\).

Step4: Solve for \(x\)

Divide both sides by \(6\): \(x=\frac{27}{6}=\frac{9}{2}=4.5\)

Answer:

\(x = 4.5\)