9(x+8)+x=4(x+2)+4

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Solution for 9(x+8)+x=4(x+2)+4 equation:


Simplifying
9(x + 8) + x = 4(x + 2) + 4

Reorder the terms:
9(8 + x) + x = 4(x + 2) + 4
(8 * 9 + x * 9) + x = 4(x + 2) + 4
(72 + 9x) + x = 4(x + 2) + 4

Combine like terms: 9x + x = 10x
72 + 10x = 4(x + 2) + 4

Reorder the terms:
72 + 10x = 4(2 + x) + 4
72 + 10x = (2 * 4 + x * 4) + 4
72 + 10x = (8 + 4x) + 4

Reorder the terms:
72 + 10x = 8 + 4 + 4x

Combine like terms: 8 + 4 = 12
72 + 10x = 12 + 4x

Solving
72 + 10x = 12 + 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.
72 + 10x + -4x = 12 + 4x + -4x

Combine like terms: 10x + -4x = 6x
72 + 6x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
72 + 6x = 12 + 0
72 + 6x = 12

Add '-72' to each side of the equation.
72 + -72 + 6x = 12 + -72

Combine like terms: 72 + -72 = 0
0 + 6x = 12 + -72
6x = 12 + -72

Combine like terms: 12 + -72 = -60
6x = -60

Divide each side by '6'.
x = -10

Simplifying
x = -10

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