3(x-4)-4(x-3)=x+3-(x-2) Distribute the 3.
3x - 12 -4(x - 3) = x + 3 - (x - 2) Distribute the 4.
3x - 12 - 4x + 12 = x + 3 - (x - 2) distribute the negative across the parenthesis.
3x - 12 - 4x + 12 = x + 3 - x + 2 Combine like terms across the line.
(3x - 4x) - (12 + 12) = (x - x) + (3 + 2)
-x - 24 = 5 Add 24 to both sides
+24 +24
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-x = 29 Multiply by negative 1 on both sides
x = -29