(x+10)+(2x-5)+(3x)=180

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Solution for (x+10)+(2x-5)+(3x)=180 equation:


Simplifying
(x + 10) + (2x + -5) + (3x) = 180

Reorder the terms:
(10 + x) + (2x + -5) + (3x) = 180

Remove parenthesis around (10 + x)
10 + x + (2x + -5) + (3x) = 180

Reorder the terms:
10 + x + (-5 + 2x) + (3x) = 180

Remove parenthesis around (-5 + 2x)
10 + x + -5 + 2x + (3x) = 180

Reorder the terms:
10 + -5 + x + 2x + (3x) = 180

Combine like terms: 10 + -5 = 5
5 + x + 2x + (3x) = 180

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

Combine like terms: 3x + (3x) = 6x
5 + 6x = 180

Solving
5 + 6x = 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 + 6x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 180 + -5
6x = 180 + -5

Combine like terms: 180 + -5 = 175
6x = 175

Divide each side by '6'.
x = 29.16666667

Simplifying
x = 29.16666667

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