-3(x-4)-4x=-4(x+2)-5x

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Solution for -3(x-4)-4x=-4(x+2)-5x equation:


Simplifying
-3(x + -4) + -4x = -4(x + 2) + -5x

Reorder the terms:
-3(-4 + x) + -4x = -4(x + 2) + -5x
(-4 * -3 + x * -3) + -4x = -4(x + 2) + -5x
(12 + -3x) + -4x = -4(x + 2) + -5x

Combine like terms: -3x + -4x = -7x
12 + -7x = -4(x + 2) + -5x

Reorder the terms:
12 + -7x = -4(2 + x) + -5x
12 + -7x = (2 * -4 + x * -4) + -5x
12 + -7x = (-8 + -4x) + -5x

Combine like terms: -4x + -5x = -9x
12 + -7x = -8 + -9x

Solving
12 + -7x = -8 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
12 + -7x + 9x = -8 + -9x + 9x

Combine like terms: -7x + 9x = 2x
12 + 2x = -8 + -9x + 9x

Combine like terms: -9x + 9x = 0
12 + 2x = -8 + 0
12 + 2x = -8

Add '-12' to each side of the equation.
12 + -12 + 2x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -8 + -12
2x = -8 + -12

Combine like terms: -8 + -12 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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