(7x-2)+(2x+8)+27=180

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Solution for (7x-2)+(2x+8)+27=180 equation:


Simplifying
(7x + -2) + (2x + 8) + 27 = 180

Reorder the terms:
(-2 + 7x) + (2x + 8) + 27 = 180

Remove parenthesis around (-2 + 7x)
-2 + 7x + (2x + 8) + 27 = 180

Reorder the terms:
-2 + 7x + (8 + 2x) + 27 = 180

Remove parenthesis around (8 + 2x)
-2 + 7x + 8 + 2x + 27 = 180

Reorder the terms:
-2 + 8 + 27 + 7x + 2x = 180

Combine like terms: -2 + 8 = 6
6 + 27 + 7x + 2x = 180

Combine like terms: 6 + 27 = 33
33 + 7x + 2x = 180

Combine like terms: 7x + 2x = 9x
33 + 9x = 180

Solving
33 + 9x = 180

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 9x = 180 + -33

Combine like terms: 33 + -33 = 0
0 + 9x = 180 + -33
9x = 180 + -33

Combine like terms: 180 + -33 = 147
9x = 147

Divide each side by '9'.
x = 16.33333333

Simplifying
x = 16.33333333

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