Answer
x = 25
Work Step by Step
-2(x + 6) + 3(2x - 5) = 3(x - 4) + 10
Apply distributive property:
-2(x) - 2(6) + 3(2x) + 3(-5) = 3(x) + 3(-4) + 10
-2x - 12 + 6x - 15 = 3x - 12 + 10
Combine like terms:
4x - 27 = 3x - 2
Subtract 3x from both sides:
x - 27 = -2
Add 27 to both sides:
x = 25
Check with substitution:
-2(25 + 6) + 3(2(25) - 5) = 3(25 - 4) + 10
-2(31) + 3(45) = 3(21) + 10
-62 + 135 = 63 + 10
73 = 73
