## Intermediate Algebra for College Students (7th Edition)

$x=9$
Distribute 3 on the left and 2 on the right to obtain: $3x-6+7=2x+10 \\3x+1=2x+10$ Subtract $2x$ and $1$ on both sides of the equation to obtain: $3x-2x=10-1 \\x=9$ Check: $\begin{array}{ccc} &3(9-2)+7&=&2(9+5) \\&3(7)+7 &= &2(14) \\&21+7&=&28 \\&28 &= &28\end{array}$