5(2x+4)-16=(5x-4)2-6x

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Solution for 5(2x+4)-16=(5x-4)2-6x equation:


Simplifying
5(2x + 4) + -16 = (5x + -4) * 2 + -6x

Reorder the terms:
5(4 + 2x) + -16 = (5x + -4) * 2 + -6x
(4 * 5 + 2x * 5) + -16 = (5x + -4) * 2 + -6x
(20 + 10x) + -16 = (5x + -4) * 2 + -6x

Reorder the terms:
20 + -16 + 10x = (5x + -4) * 2 + -6x

Combine like terms: 20 + -16 = 4
4 + 10x = (5x + -4) * 2 + -6x

Reorder the terms:
4 + 10x = (-4 + 5x) * 2 + -6x

Reorder the terms for easier multiplication:
4 + 10x = 2(-4 + 5x) + -6x
4 + 10x = (-4 * 2 + 5x * 2) + -6x
4 + 10x = (-8 + 10x) + -6x

Combine like terms: 10x + -6x = 4x
4 + 10x = -8 + 4x

Solving
4 + 10x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + 10x + -4x = -8 + 4x + -4x

Combine like terms: 10x + -4x = 6x
4 + 6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + 6x = -8 + 0
4 + 6x = -8

Add '-4' to each side of the equation.
4 + -4 + 6x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = -8 + -4
6x = -8 + -4

Combine like terms: -8 + -4 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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