4x-3(4-3x)=5(x-4)-40

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Solution for 4x-3(4-3x)=5(x-4)-40 equation: 


Simplifying
4x + -3(4 + -3x) = 5(x + -4) + -40
4x + (4 * -3 + -3x * -3) = 5(x + -4) + -40
4x + (-12 + 9x) = 5(x + -4) + -40

Reorder the terms:
-12 + 4x + 9x = 5(x + -4) + -40

Combine like terms: 4x + 9x = 13x
-12 + 13x = 5(x + -4) + -40

Reorder the terms:
-12 + 13x = 5(-4 + x) + -40
-12 + 13x = (-4 * 5 + x * 5) + -40
-12 + 13x = (-20 + 5x) + -40

Reorder the terms:
-12 + 13x = -20 + -40 + 5x

Combine like terms: -20 + -40 = -60
-12 + 13x = -60 + 5x

Solving
-12 + 13x = -60 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 13x + -5x = -60 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-12 + 8x = -60 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 8x = -60 + 0
-12 + 8x = -60

Add '12' to each side of the equation.
-12 + 12 + 8x = -60 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -60 + 12
8x = -60 + 12

Combine like terms: -60 + 12 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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