(3x+5)+(6x-10)+(x-15)=180

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Solution for (3x+5)+(6x-10)+(x-15)=180 equation:


Simplifying
(3x + 5) + (6x + -10) + (x + -15) = 180

Reorder the terms:
(5 + 3x) + (6x + -10) + (x + -15) = 180

Remove parenthesis around (5 + 3x)
5 + 3x + (6x + -10) + (x + -15) = 180

Reorder the terms:
5 + 3x + (-10 + 6x) + (x + -15) = 180

Remove parenthesis around (-10 + 6x)
5 + 3x + -10 + 6x + (x + -15) = 180

Reorder the terms:
5 + 3x + -10 + 6x + (-15 + x) = 180

Remove parenthesis around (-15 + x)
5 + 3x + -10 + 6x + -15 + x = 180

Reorder the terms:
5 + -10 + -15 + 3x + 6x + x = 180

Combine like terms: 5 + -10 = -5
-5 + -15 + 3x + 6x + x = 180

Combine like terms: -5 + -15 = -20
-20 + 3x + 6x + x = 180

Combine like terms: 3x + 6x = 9x
-20 + 9x + x = 180

Combine like terms: 9x + x = 10x
-20 + 10x = 180

Solving
-20 + 10x = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 10x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 180 + 20
10x = 180 + 20

Combine like terms: 180 + 20 = 200
10x = 200

Divide each side by '10'.
x = 20

Simplifying
x = 20

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