3(x-4)-4(x-3)=x+2-(x-2)

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Solution for 3(x-4)-4(x-3)=x+2-(x-2) equation: 


Simplifying
3(x + -4) + -4(x + -3) = x + 2 + -1(x + -2)

Reorder the terms:
3(-4 + x) + -4(x + -3) = x + 2 + -1(x + -2)
(-4 * 3 + x * 3) + -4(x + -3) = x + 2 + -1(x + -2)
(-12 + 3x) + -4(x + -3) = x + 2 + -1(x + -2)

Reorder the terms:
-12 + 3x + -4(-3 + x) = x + 2 + -1(x + -2)
-12 + 3x + (-3 * -4 + x * -4) = x + 2 + -1(x + -2)
-12 + 3x + (12 + -4x) = x + 2 + -1(x + -2)

Reorder the terms:
-12 + 12 + 3x + -4x = x + 2 + -1(x + -2)

Combine like terms: -12 + 12 = 0
0 + 3x + -4x = x + 2 + -1(x + -2)
3x + -4x = x + 2 + -1(x + -2)

Combine like terms: 3x + -4x = -1x
-1x = x + 2 + -1(x + -2)

Reorder the terms:
-1x = x + 2 + -1(-2 + x)
-1x = x + 2 + (-2 * -1 + x * -1)
-1x = x + 2 + (2 + -1x)

Reorder the terms:
-1x = 2 + 2 + x + -1x

Combine like terms: 2 + 2 = 4
-1x = 4 + x + -1x

Combine like terms: x + -1x = 0
-1x = 4 + 0
-1x = 4

Solving
-1x = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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