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

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


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

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

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

Combine like terms: 8 + -4 = 4
4 + 2x = 2(x + 4) + x

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

Combine like terms: 2x + x = 3x
4 + 2x = 8 + 3x

Solving
4 + 2x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 2x + -3x = 8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
4 + -1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -1x = 8 + 0
4 + -1x = 8

Add '-4' to each side of the equation.
4 + -4 + -1x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 8 + -4
-1x = 8 + -4

Combine like terms: 8 + -4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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