#### Answer

$x=7$

#### Work Step by Step

Add 10 to both sides to have:
$3x+4+10=5x-10+10
\\3x+14=5x$
Subtract $3x$ from both sides to have:
$3x+14-3x=5x-3x
\\14=2x
\\7=x$
Checking:
$\begin{array}{ccc}
\\3(7) +4 &\stackrel{?}{=}&5(7)-10
\\25 &\stackrel{\checkmark}{=}&25
\\\end{array}$