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

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


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

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

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

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

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

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

Combine like terms: 12 + -15 = -3
-3 + x + 2x + x = 180

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

Combine like terms: 3x + x = 4x
-3 + 4x = 180

Solving
-3 + 4x = 180

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 4x = 180 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 180 + 3
4x = 180 + 3

Combine like terms: 180 + 3 = 183
4x = 183

Divide each side by '4'.
x = 45.75

Simplifying
x = 45.75

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