#### Answer

The solution is 1

#### Work Step by Step

19-3x =14 +2x Subtract 2x to both sides
19-3x -2x=14 +2x -2xSimplify
19-5x=14 Subtract 19 from both sides
19-5x -19=14 -19 Simplify
-5x= -5 Divide both sides by -5
$\frac{-5x}{-5}$=$\frac{-5}{-5}$
x=1
The solution is 1
Check
19-3x=14 +2x
19-3$\times$1=14 +2$\times$1 Multiply
19-3=14+2
16=16