(5x+2)+(6x-10)+(x+20)=180

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Solution for (5x+2)+(6x-10)+(x+20)=180 equation:


Simplifying
(5x + 2) + (6x + -10) + (x + 20) = 180

Reorder the terms:
(2 + 5x) + (6x + -10) + (x + 20) = 180

Remove parenthesis around (2 + 5x)
2 + 5x + (6x + -10) + (x + 20) = 180

Reorder the terms:
2 + 5x + (-10 + 6x) + (x + 20) = 180

Remove parenthesis around (-10 + 6x)
2 + 5x + -10 + 6x + (x + 20) = 180

Reorder the terms:
2 + 5x + -10 + 6x + (20 + x) = 180

Remove parenthesis around (20 + x)
2 + 5x + -10 + 6x + 20 + x = 180

Reorder the terms:
2 + -10 + 20 + 5x + 6x + x = 180

Combine like terms: 2 + -10 = -8
-8 + 20 + 5x + 6x + x = 180

Combine like terms: -8 + 20 = 12
12 + 5x + 6x + x = 180

Combine like terms: 5x + 6x = 11x
12 + 11x + x = 180

Combine like terms: 11x + x = 12x
12 + 12x = 180

Solving
12 + 12x = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 12x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = 180 + -12
12x = 180 + -12

Combine like terms: 180 + -12 = 168
12x = 168

Divide each side by '12'.
x = 14

Simplifying
x = 14

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