(x-5)+(2x-31)+(90)=180

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Solution for (x-5)+(2x-31)+(90)=180 equation:


Simplifying
(x + -5) + (2x + -31) + (90) = 180

Reorder the terms:
(-5 + x) + (2x + -31) + (90) = 180

Remove parenthesis around (-5 + x)
-5 + x + (2x + -31) + (90) = 180

Reorder the terms:
-5 + x + (-31 + 2x) + (90) = 180

Remove parenthesis around (-31 + 2x)
-5 + x + -31 + 2x + (90) = 180
-5 + x + -31 + 2x + 90 = 180

Reorder the terms:
-5 + -31 + 90 + x + 2x = 180

Combine like terms: -5 + -31 = -36
-36 + 90 + x + 2x = 180

Combine like terms: -36 + 90 = 54
54 + x + 2x = 180

Combine like terms: x + 2x = 3x
54 + 3x = 180

Solving
54 + 3x = 180

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + 3x = 180 + -54

Combine like terms: 54 + -54 = 0
0 + 3x = 180 + -54
3x = 180 + -54

Combine like terms: 180 + -54 = 126
3x = 126

Divide each side by '3'.
x = 42

Simplifying
x = 42

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