Answer
The solution set is $\left\{9\right\}$.
Work Step by Step
Solve using the different properties of Algebra to find:
$5x-2x-(-8)=35
\\3x+8=35
\\3x=35-8
\\3x=27
\\x=\frac{27}{3}
\\x=9$
Check:
$5(9)-(2\cdot9 -8)\stackrel{?}{=}35
\\45-(18-8)\stackrel{?}{=}35
\\45-10\stackrel{?}{=}35
\\35 \stackrel{\checkmark}{=}35$
The solution set is $\left\{9\right\}$.
