(x+12)+(7x-31)+(7x-31)=180

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Solution for (x+12)+(7x-31)+(7x-31)=180 equation:


Simplifying
(x + 12) + (7x + -31) + (7x + -31) = 180

Reorder the terms:
(12 + x) + (7x + -31) + (7x + -31) = 180

Remove parenthesis around (12 + x)
12 + x + (7x + -31) + (7x + -31) = 180

Reorder the terms:
12 + x + (-31 + 7x) + (7x + -31) = 180

Remove parenthesis around (-31 + 7x)
12 + x + -31 + 7x + (7x + -31) = 180

Reorder the terms:
12 + x + -31 + 7x + (-31 + 7x) = 180

Remove parenthesis around (-31 + 7x)
12 + x + -31 + 7x + -31 + 7x = 180

Reorder the terms:
12 + -31 + -31 + x + 7x + 7x = 180

Combine like terms: 12 + -31 = -19
-19 + -31 + x + 7x + 7x = 180

Combine like terms: -19 + -31 = -50
-50 + x + 7x + 7x = 180

Combine like terms: x + 7x = 8x
-50 + 8x + 7x = 180

Combine like terms: 8x + 7x = 15x
-50 + 15x = 180

Solving
-50 + 15x = 180

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 15x = 180 + 50

Combine like terms: -50 + 50 = 0
0 + 15x = 180 + 50
15x = 180 + 50

Combine like terms: 180 + 50 = 230
15x = 230

Divide each side by '15'.
x = 15.33333333

Simplifying
x = 15.33333333

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