x+(2x-10)+(2x+15)=180

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Solution for x+(2x-10)+(2x+15)=180 equation:


Simplifying
x + (2x + -10) + (2x + 15) = 180

Reorder the terms:
x + (-10 + 2x) + (2x + 15) = 180

Remove parenthesis around (-10 + 2x)
x + -10 + 2x + (2x + 15) = 180

Reorder the terms:
x + -10 + 2x + (15 + 2x) = 180

Remove parenthesis around (15 + 2x)
x + -10 + 2x + 15 + 2x = 180

Reorder the terms:
-10 + 15 + x + 2x + 2x = 180

Combine like terms: -10 + 15 = 5
5 + x + 2x + 2x = 180

Combine like terms: x + 2x = 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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