5x-12x=-4(5-12x)-4(3x-5)

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Solution for 5x-12x=-4(5-12x)-4(3x-5) equation:


Simplifying
5x + -12x = -4(5 + -12x) + -4(3x + -5)

Combine like terms: 5x + -12x = -7x
-7x = -4(5 + -12x) + -4(3x + -5)
-7x = (5 * -4 + -12x * -4) + -4(3x + -5)
-7x = (-20 + 48x) + -4(3x + -5)

Reorder the terms:
-7x = -20 + 48x + -4(-5 + 3x)
-7x = -20 + 48x + (-5 * -4 + 3x * -4)
-7x = -20 + 48x + (20 + -12x)

Reorder the terms:
-7x = -20 + 20 + 48x + -12x

Combine like terms: -20 + 20 = 0
-7x = 0 + 48x + -12x
-7x = 48x + -12x

Combine like terms: 48x + -12x = 36x
-7x = 36x

Solving
-7x = 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-7x + -36x = 36x + -36x

Combine like terms: -7x + -36x = -43x
-43x = 36x + -36x

Combine like terms: 36x + -36x = 0
-43x = 0

Divide each side by '-43'.
x = 0

Simplifying
x = 0

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