(5x-27)+(3x+31)=180

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Solution for (5x-27)+(3x+31)=180 equation:


Simplifying
(5x + -27) + (3x + 31) = 180

Reorder the terms:
(-27 + 5x) + (3x + 31) = 180

Remove parenthesis around (-27 + 5x)
-27 + 5x + (3x + 31) = 180

Reorder the terms:
-27 + 5x + (31 + 3x) = 180

Remove parenthesis around (31 + 3x)
-27 + 5x + 31 + 3x = 180

Reorder the terms:
-27 + 31 + 5x + 3x = 180

Combine like terms: -27 + 31 = 4
4 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
4 + 8x = 180

Solving
4 + 8x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 8x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 180 + -4
8x = 180 + -4

Combine like terms: 180 + -4 = 176
8x = 176

Divide each side by '8'.
x = 22

Simplifying
x = 22

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