9(x+8)+x=2(x+5)-4

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Solution for 9(x+8)+x=2(x+5)-4 equation:


Simplifying
9(x + 8) + x = 2(x + 5) + -4

Reorder the terms:
9(8 + x) + x = 2(x + 5) + -4
(8 * 9 + x * 9) + x = 2(x + 5) + -4
(72 + 9x) + x = 2(x + 5) + -4

Combine like terms: 9x + x = 10x
72 + 10x = 2(x + 5) + -4

Reorder the terms:
72 + 10x = 2(5 + x) + -4
72 + 10x = (5 * 2 + x * 2) + -4
72 + 10x = (10 + 2x) + -4

Reorder the terms:
72 + 10x = 10 + -4 + 2x

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

Solving
72 + 10x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
72 + 10x + -2x = 6 + 2x + -2x

Combine like terms: 10x + -2x = 8x
72 + 8x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
72 + 8x = 6 + 0
72 + 8x = 6

Add '-72' to each side of the equation.
72 + -72 + 8x = 6 + -72

Combine like terms: 72 + -72 = 0
0 + 8x = 6 + -72
8x = 6 + -72

Combine like terms: 6 + -72 = -66
8x = -66

Divide each side by '8'.
x = -8.25

Simplifying
x = -8.25

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