#### Answer

x = -5

#### Work Step by Step

3(x - 4) - 4(x - 3) = x + 3 - (x - 2)
Expand the equation:
3x - 12 - 4x + 12 = x + 3 - x + 2
Combine like terms:
3x - 4x - x + x = 3 + 2 + 12 - 12
Simplify:
-x = 5
x = -5
Check your answer by substituting the value of x=-5 to the original equation:
3(x - 4) - 4(x - 3) = x + 3 - (x - 2)
3(-5-4) - 4(-5-3) = -5+3 - (-5-2)
3(-9) - 4(-8) = -2 -(-7)
-27+32 = 5
5 = 5 --> TRUE