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

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


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

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

Reorder the terms:
20 + 5x = 2(-4 + x) + 4x
20 + 5x = (-4 * 2 + x * 2) + 4x
20 + 5x = (-8 + 2x) + 4x

Combine like terms: 2x + 4x = 6x
20 + 5x = -8 + 6x

Solving
20 + 5x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 5x + -6x = -8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
20 + -1x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -1x = -8 + 0
20 + -1x = -8

Add '-20' to each side of the equation.
20 + -20 + -1x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -8 + -20
-1x = -8 + -20

Combine like terms: -8 + -20 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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