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

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


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

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

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

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

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

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

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

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

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

Solving
180 = 33 + 9x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-9'.
x = 16.33333333

Simplifying
x = 16.33333333

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