Answer
$x=14$.
Work Step by Step
The given equation is
$\Rightarrow 68=\frac{1}{5}(20x+50)+2$
Use distributive property.
$\Rightarrow 68=4x+10+2$
Add like terms.
$\Rightarrow 68=4x+12$
Subtract $12$ from both sides.
$\Rightarrow 68-12=4x+12-12$
Simplify.
$\Rightarrow 56=4x$
Divide both sides by $4$.
$\Rightarrow \frac{56}{4}=\frac{4x}{4}$
Simplify.
$\Rightarrow 14=x$.
Check:-
$\Rightarrow 68=\frac{1}{5}(20(14)+50)+2$
$\Rightarrow 68=\frac{1}{5}(280+50)+2$
$\Rightarrow 68=\frac{1}{5}(330)+2$
$\Rightarrow 68=66+2$
$\Rightarrow 68=68$
True.
Hence, the solution is $x=14$.
