(2x-9)+(27-4x)=180

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Solution for (2x-9)+(27-4x)=180 equation:


Simplifying
(2x + -9) + (27 + -4x) = 180

Reorder the terms:
(-9 + 2x) + (27 + -4x) = 180

Remove parenthesis around (-9 + 2x)
-9 + 2x + (27 + -4x) = 180

Remove parenthesis around (27 + -4x)
-9 + 2x + 27 + -4x = 180

Reorder the terms:
-9 + 27 + 2x + -4x = 180

Combine like terms: -9 + 27 = 18
18 + 2x + -4x = 180

Combine like terms: 2x + -4x = -2x
18 + -2x = 180

Solving
18 + -2x = 180

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -2x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = 180 + -18
-2x = 180 + -18

Combine like terms: 180 + -18 = 162
-2x = 162

Divide each side by '-2'.
x = -81

Simplifying
x = -81

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