108=2(5x+6)+3x+5

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Solution for 108=2(5x+6)+3x+5 equation:


Simplifying
108 = 2(5x + 6) + 3x + 5

Reorder the terms:
108 = 2(6 + 5x) + 3x + 5
108 = (6 * 2 + 5x * 2) + 3x + 5
108 = (12 + 10x) + 3x + 5

Reorder the terms:
108 = 12 + 5 + 10x + 3x

Combine like terms: 12 + 5 = 17
108 = 17 + 10x + 3x

Combine like terms: 10x + 3x = 13x
108 = 17 + 13x

Solving
108 = 17 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
108 + -13x = 17 + 13x + -13x

Combine like terms: 13x + -13x = 0
108 + -13x = 17 + 0
108 + -13x = 17

Add '-108' to each side of the equation.
108 + -108 + -13x = 17 + -108

Combine like terms: 108 + -108 = 0
0 + -13x = 17 + -108
-13x = 17 + -108

Combine like terms: 17 + -108 = -91
-13x = -91

Divide each side by '-13'.
x = 7

Simplifying
x = 7

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