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

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


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

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

Combine like terms: 2x + x = 3x
8 + 3x = 5(x + 4) + 4

Reorder the terms:
8 + 3x = 5(4 + x) + 4
8 + 3x = (4 * 5 + x * 5) + 4
8 + 3x = (20 + 5x) + 4

Reorder the terms:
8 + 3x = 20 + 4 + 5x

Combine like terms: 20 + 4 = 24
8 + 3x = 24 + 5x

Solving
8 + 3x = 24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 3x + -5x = 24 + 5x + -5x

Combine like terms: 3x + -5x = -2x
8 + -2x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -2x = 24 + 0
8 + -2x = 24

Add '-8' to each side of the equation.
8 + -8 + -2x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 24 + -8
-2x = 24 + -8

Combine like terms: 24 + -8 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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