#### Answer

The solution is 4

#### Work Step by Step

4x+3 =2x+11 Subtract 3 from both sides
4x+3 -3 =2x+11 -3
4x=2x+8 Subtract 2x from both sides
4x -2x=2x+8 -2x
2x =8 Divide by 2 on both sides
$\frac{2x}{2}$=$\frac{8}{2}$
x=4
The solution is 4
Check
4x+3 =2x+11 Replace x with 4
4$\times$4+3 =2$\times$4+11
16+3 = 8 +11
19=19