9(x+8)+x=3(x+2)-4

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Solution for 9(x+8)+x=3(x+2)-4 equation:


Simplifying
9(x + 8) + x = 3(x + 2) + -4

Reorder the terms:
9(8 + x) + x = 3(x + 2) + -4
(8 * 9 + x * 9) + x = 3(x + 2) + -4
(72 + 9x) + x = 3(x + 2) + -4

Combine like terms: 9x + x = 10x
72 + 10x = 3(x + 2) + -4

Reorder the terms:
72 + 10x = 3(2 + x) + -4
72 + 10x = (2 * 3 + x * 3) + -4
72 + 10x = (6 + 3x) + -4

Reorder the terms:
72 + 10x = 6 + -4 + 3x

Combine like terms: 6 + -4 = 2
72 + 10x = 2 + 3x

Solving
72 + 10x = 2 + 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.
72 + 10x + -3x = 2 + 3x + -3x

Combine like terms: 10x + -3x = 7x
72 + 7x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
72 + 7x = 2 + 0
72 + 7x = 2

Add '-72' to each side of the equation.
72 + -72 + 7x = 2 + -72

Combine like terms: 72 + -72 = 0
0 + 7x = 2 + -72
7x = 2 + -72

Combine like terms: 2 + -72 = -70
7x = -70

Divide each side by '7'.
x = -10

Simplifying
x = -10

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