x-12+(5x-27)+(2x+3)=180

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Solution for x-12+(5x-27)+(2x+3)=180 equation:


Simplifying
x + -12 + (5x + -27) + (2x + 3) = 180

Reorder the terms:
x + -12 + (-27 + 5x) + (2x + 3) = 180

Remove parenthesis around (-27 + 5x)
x + -12 + -27 + 5x + (2x + 3) = 180

Reorder the terms:
x + -12 + -27 + 5x + (3 + 2x) = 180

Remove parenthesis around (3 + 2x)
x + -12 + -27 + 5x + 3 + 2x = 180

Reorder the terms:
-12 + -27 + 3 + x + 5x + 2x = 180

Combine like terms: -12 + -27 = -39
-39 + 3 + x + 5x + 2x = 180

Combine like terms: -39 + 3 = -36
-36 + x + 5x + 2x = 180

Combine like terms: x + 5x = 6x
-36 + 6x + 2x = 180

Combine like terms: 6x + 2x = 8x
-36 + 8x = 180

Solving
-36 + 8x = 180

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 8x = 180 + 36

Combine like terms: -36 + 36 = 0
0 + 8x = 180 + 36
8x = 180 + 36

Combine like terms: 180 + 36 = 216
8x = 216

Divide each side by '8'.
x = 27

Simplifying
x = 27

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