(5x+21)+(x-27)=180

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Solution for (5x+21)+(x-27)=180 equation:


Simplifying
(5x + 21) + (x + -27) = 180

Reorder the terms:
(21 + 5x) + (x + -27) = 180

Remove parenthesis around (21 + 5x)
21 + 5x + (x + -27) = 180

Reorder the terms:
21 + 5x + (-27 + x) = 180

Remove parenthesis around (-27 + x)
21 + 5x + -27 + x = 180

Reorder the terms:
21 + -27 + 5x + x = 180

Combine like terms: 21 + -27 = -6
-6 + 5x + x = 180

Combine like terms: 5x + x = 6x
-6 + 6x = 180

Solving
-6 + 6x = 180

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 180 + 6
6x = 180 + 6

Combine like terms: 180 + 6 = 186
6x = 186

Divide each side by '6'.
x = 31

Simplifying
x = 31

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