(x+10)+(3x-5)+x=180

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Solution for (x+10)+(3x-5)+x=180 equation:


Simplifying
(x + 10) + (3x + -5) + x = 180

Reorder the terms:
(10 + x) + (3x + -5) + x = 180

Remove parenthesis around (10 + x)
10 + x + (3x + -5) + x = 180

Reorder the terms:
10 + x + (-5 + 3x) + x = 180

Remove parenthesis around (-5 + 3x)
10 + x + -5 + 3x + x = 180

Reorder the terms:
10 + -5 + x + 3x + x = 180

Combine like terms: 10 + -5 = 5
5 + x + 3x + x = 180

Combine like terms: x + 3x = 4x
5 + 4x + x = 180

Combine like terms: 4x + x = 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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