9(x+9)+x=2(x+3)-5

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Solution for 9(x+9)+x=2(x+3)-5 equation: 


Simplifying
9(x + 9) + x = 2(x + 3) + -5

Reorder the terms:
9(9 + x) + x = 2(x + 3) + -5
(9 * 9 + x * 9) + x = 2(x + 3) + -5
(81 + 9x) + x = 2(x + 3) + -5

Combine like terms: 9x + x = 10x
81 + 10x = 2(x + 3) + -5

Reorder the terms:
81 + 10x = 2(3 + x) + -5
81 + 10x = (3 * 2 + x * 2) + -5
81 + 10x = (6 + 2x) + -5

Reorder the terms:
81 + 10x = 6 + -5 + 2x

Combine like terms: 6 + -5 = 1
81 + 10x = 1 + 2x

Solving
81 + 10x = 1 + 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.
81 + 10x + -2x = 1 + 2x + -2x

Combine like terms: 10x + -2x = 8x
81 + 8x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
81 + 8x = 1 + 0
81 + 8x = 1

Add '-81' to each side of the equation.
81 + -81 + 8x = 1 + -81

Combine like terms: 81 + -81 = 0
0 + 8x = 1 + -81
8x = 1 + -81

Combine like terms: 1 + -81 = -80
8x = -80

Divide each side by '8'.
x = -10

Simplifying
x = -10

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