Question

practice reasoning about multi - step equations
for the equation $2(x + 8)=22$, what is the value of $x$?
use the number pad to enter your answer in the box.
$x = \square$

Explanation:

Step1: Divide both sides by 2

To isolate the term with \(x\), we divide both sides of the equation \(2(x + 8)=22\) by 2.
\[
\frac{2(x + 8)}{2}=\frac{22}{2}
\]
Simplifying both sides, we get \(x + 8 = 11\).

Step2: Subtract 8 from both sides

To solve for \(x\), we subtract 8 from both sides of the equation \(x + 8 = 11\).
\[
x+8 - 8=11 - 8
\]
Simplifying both sides, we find that \(x = 3\).

Answer:

\(x = 3\)