2x-3(4-3x)=3(x-4)-32

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Solution for 2x-3(4-3x)=3(x-4)-32 equation: 


Simplifying
2x + -3(4 + -3x) = 3(x + -4) + -32
2x + (4 * -3 + -3x * -3) = 3(x + -4) + -32
2x + (-12 + 9x) = 3(x + -4) + -32

Reorder the terms:
-12 + 2x + 9x = 3(x + -4) + -32

Combine like terms: 2x + 9x = 11x
-12 + 11x = 3(x + -4) + -32

Reorder the terms:
-12 + 11x = 3(-4 + x) + -32
-12 + 11x = (-4 * 3 + x * 3) + -32
-12 + 11x = (-12 + 3x) + -32

Reorder the terms:
-12 + 11x = -12 + -32 + 3x

Combine like terms: -12 + -32 = -44
-12 + 11x = -44 + 3x

Solving
-12 + 11x = -44 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 11x + -3x = -44 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-12 + 8x = -44 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 8x = -44 + 0
-12 + 8x = -44

Add '12' to each side of the equation.
-12 + 12 + 8x = -44 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -44 + 12
8x = -44 + 12

Combine like terms: -44 + 12 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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