#### Answer

x = 13

#### Work Step by Step

-5(x + 1) + 4(2x - 3) = 2(x + 2) - 8
Apply distributive property:
-5(x) - 5(1) + 4(2x) + 4(-3) = 2(x) + 2(2) - 8
-5x - 5 + 8x - 12 = 2x + 4 - 8
Combine like terms:
3x - 17 = 2x - 4
Subtract 2x from both sides:
x - 17 = -4
Add 17 to both sides:
x = 13
Check with substitution:
-5(13 + 1) + 4(2(13) - 3) = 2(13 + 2) - 8
-5(14) + 4(23) = 2(15) - 8
-70 + 92 = 30 - 8
22 = 22