#### Answer

$x=9$

#### Work Step by Step

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:
$\begin{array}{ccc}
&3(9-2)+7&=&2(9+5)
\\&3(7)+7 &= &2(14)
\\&21+7&=&28
\\&28 &= &28\end{array}$