(3x-31)+(x+59)=180

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Solution for (3x-31)+(x+59)=180 equation:


Simplifying
(3x + -31) + (x + 59) = 180

Reorder the terms:
(-31 + 3x) + (x + 59) = 180

Remove parenthesis around (-31 + 3x)
-31 + 3x + (x + 59) = 180

Reorder the terms:
-31 + 3x + (59 + x) = 180

Remove parenthesis around (59 + x)
-31 + 3x + 59 + x = 180

Reorder the terms:
-31 + 59 + 3x + x = 180

Combine like terms: -31 + 59 = 28
28 + 3x + x = 180

Combine like terms: 3x + x = 4x
28 + 4x = 180

Solving
28 + 4x = 180

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 4x = 180 + -28

Combine like terms: 28 + -28 = 0
0 + 4x = 180 + -28
4x = 180 + -28

Combine like terms: 180 + -28 = 152
4x = 152

Divide each side by '4'.
x = 38

Simplifying
x = 38

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