Answer
The solution is $\frac{17}{2}$.
Work Step by Step
4(x-7)=6
4x-28=6
4x-28-6=6-6
4x-34=0
2(2x-17)=0
2x-17=0
2x-17+17=0+17
2x=17
$\frac{2x}{2}$=$\frac{17}{2}$
x=$\frac{17}{2}$
The solution is $\frac{17}{2}$.
Check
Let x= $\frac{17}{2}$
4(x-7)=6
4( $\frac{17}{2}$ -7)=6
4*$\frac{17}{2}$-4*7=6
2*17-28=6
34-28=6
6=6