(x+25)+2x+(2x-15)+(x+20)=180

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Solution for (x+25)+2x+(2x-15)+(x+20)=180 equation:


Simplifying
(x + 25) + 2x + (2x + -15) + (x + 20) = 180

Reorder the terms:
(25 + x) + 2x + (2x + -15) + (x + 20) = 180

Remove parenthesis around (25 + x)
25 + x + 2x + (2x + -15) + (x + 20) = 180

Reorder the terms:
25 + x + 2x + (-15 + 2x) + (x + 20) = 180

Remove parenthesis around (-15 + 2x)
25 + x + 2x + -15 + 2x + (x + 20) = 180

Reorder the terms:
25 + x + 2x + -15 + 2x + (20 + x) = 180

Remove parenthesis around (20 + x)
25 + x + 2x + -15 + 2x + 20 + x = 180

Reorder the terms:
25 + -15 + 20 + x + 2x + 2x + x = 180

Combine like terms: 25 + -15 = 10
10 + 20 + x + 2x + 2x + x = 180

Combine like terms: 10 + 20 = 30
30 + x + 2x + 2x + x = 180

Combine like terms: x + 2x = 3x
30 + 3x + 2x + x = 180

Combine like terms: 3x + 2x = 5x
30 + 5x + x = 180

Combine like terms: 5x + x = 6x
30 + 6x = 180

Solving
30 + 6x = 180

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 6x = 180 + -30

Combine like terms: 30 + -30 = 0
0 + 6x = 180 + -30
6x = 180 + -30

Combine like terms: 180 + -30 = 150
6x = 150

Divide each side by '6'.
x = 25

Simplifying
x = 25

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