(2x+12)-(5x-15)=180

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Solution for (2x+12)-(5x-15)=180 equation:


Simplifying
(2x + 12) + -1(5x + -15) = 180

Reorder the terms:
(12 + 2x) + -1(5x + -15) = 180

Remove parenthesis around (12 + 2x)
12 + 2x + -1(5x + -15) = 180

Reorder the terms:
12 + 2x + -1(-15 + 5x) = 180
12 + 2x + (-15 * -1 + 5x * -1) = 180
12 + 2x + (15 + -5x) = 180

Reorder the terms:
12 + 15 + 2x + -5x = 180

Combine like terms: 12 + 15 = 27
27 + 2x + -5x = 180

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

Solving
27 + -3x = 180

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -3x = 180 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = 180 + -27
-3x = 180 + -27

Combine like terms: 180 + -27 = 153
-3x = 153

Divide each side by '-3'.
x = -51

Simplifying
x = -51

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