(3x+36)+(7x-13)+(5x-8)=180

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Solution for (3x+36)+(7x-13)+(5x-8)=180 equation:


Simplifying
(3x + 36) + (7x + -13) + (5x + -8) = 180

Reorder the terms:
(36 + 3x) + (7x + -13) + (5x + -8) = 180

Remove parenthesis around (36 + 3x)
36 + 3x + (7x + -13) + (5x + -8) = 180

Reorder the terms:
36 + 3x + (-13 + 7x) + (5x + -8) = 180

Remove parenthesis around (-13 + 7x)
36 + 3x + -13 + 7x + (5x + -8) = 180

Reorder the terms:
36 + 3x + -13 + 7x + (-8 + 5x) = 180

Remove parenthesis around (-8 + 5x)
36 + 3x + -13 + 7x + -8 + 5x = 180

Reorder the terms:
36 + -13 + -8 + 3x + 7x + 5x = 180

Combine like terms: 36 + -13 = 23
23 + -8 + 3x + 7x + 5x = 180

Combine like terms: 23 + -8 = 15
15 + 3x + 7x + 5x = 180

Combine like terms: 3x + 7x = 10x
15 + 10x + 5x = 180

Combine like terms: 10x + 5x = 15x
15 + 15x = 180

Solving
15 + 15x = 180

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 15x = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 15x = 180 + -15
15x = 180 + -15

Combine like terms: 180 + -15 = 165
15x = 165

Divide each side by '15'.
x = 11

Simplifying
x = 11

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