9(x+8)+x=4(x+5)+6

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Solution for 9(x+8)+x=4(x+5)+6 equation: 


Simplifying
9(x + 8) + x = 4(x + 5) + 6

Reorder the terms:
9(8 + x) + x = 4(x + 5) + 6
(8 * 9 + x * 9) + x = 4(x + 5) + 6
(72 + 9x) + x = 4(x + 5) + 6

Combine like terms: 9x + x = 10x
72 + 10x = 4(x + 5) + 6

Reorder the terms:
72 + 10x = 4(5 + x) + 6
72 + 10x = (5 * 4 + x * 4) + 6
72 + 10x = (20 + 4x) + 6

Reorder the terms:
72 + 10x = 20 + 6 + 4x

Combine like terms: 20 + 6 = 26
72 + 10x = 26 + 4x

Solving
72 + 10x = 26 + 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 = 26 + 4x + -4x

Combine like terms: 10x + -4x = 6x
72 + 6x = 26 + 4x + -4x

Combine like terms: 4x + -4x = 0
72 + 6x = 26 + 0
72 + 6x = 26

Add '-72' to each side of the equation.
72 + -72 + 6x = 26 + -72

Combine like terms: 72 + -72 = 0
0 + 6x = 26 + -72
6x = 26 + -72

Combine like terms: 26 + -72 = -46
6x = -46

Divide each side by '6'.
x = -7.666666667

Simplifying
x = -7.666666667

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