2x+(4x-12)+(x+17)=180

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Solution for 2x+(4x-12)+(x+17)=180 equation: 


Simplifying
2x + (4x + -12) + (x + 17) = 180

Reorder the terms:
2x + (-12 + 4x) + (x + 17) = 180

Remove parenthesis around (-12 + 4x)
2x + -12 + 4x + (x + 17) = 180

Reorder the terms:
2x + -12 + 4x + (17 + x) = 180

Remove parenthesis around (17 + x)
2x + -12 + 4x + 17 + x = 180

Reorder the terms:
-12 + 17 + 2x + 4x + x = 180

Combine like terms: -12 + 17 = 5
5 + 2x + 4x + x = 180

Combine like terms: 2x + 4x = 6x
5 + 6x + x = 180

Combine like terms: 6x + x = 7x
5 + 7x = 180

Solving
5 + 7x = 180

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 7x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 180 + -5
7x = 180 + -5

Combine like terms: 180 + -5 = 175
7x = 175

Divide each side by '7'.
x = 25

Simplifying
x = 25

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