(2x-25)+(x+13)+(2x+17)=180

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Solution for (2x-25)+(x+13)+(2x+17)=180 equation:


Simplifying
(2x + -25) + (x + 13) + (2x + 17) = 180

Reorder the terms:
(-25 + 2x) + (x + 13) + (2x + 17) = 180

Remove parenthesis around (-25 + 2x)
-25 + 2x + (x + 13) + (2x + 17) = 180

Reorder the terms:
-25 + 2x + (13 + x) + (2x + 17) = 180

Remove parenthesis around (13 + x)
-25 + 2x + 13 + x + (2x + 17) = 180

Reorder the terms:
-25 + 2x + 13 + x + (17 + 2x) = 180

Remove parenthesis around (17 + 2x)
-25 + 2x + 13 + x + 17 + 2x = 180

Reorder the terms:
-25 + 13 + 17 + 2x + x + 2x = 180

Combine like terms: -25 + 13 = -12
-12 + 17 + 2x + x + 2x = 180

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

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

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

Solving
5 + 5x = 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 + 5x = 180 + -5

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

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

Divide each side by '5'.
x = 35

Simplifying
x = 35

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