(6x+10)+(7x)+(15x+2)=180

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Solution for (6x+10)+(7x)+(15x+2)=180 equation:


Simplifying
(6x + 10) + (7x) + (15x + 2) = 180

Reorder the terms:
(10 + 6x) + (7x) + (15x + 2) = 180

Remove parenthesis around (10 + 6x)
10 + 6x + (7x) + (15x + 2) = 180

Reorder the terms:
10 + 6x + (7x) + (2 + 15x) = 180

Remove parenthesis around (2 + 15x)
10 + 6x + (7x) + 2 + 15x = 180

Reorder the terms:
10 + 2 + 6x + (7x) + 15x = 180

Combine like terms: 10 + 2 = 12
12 + 6x + (7x) + 15x = 180

Combine like terms: 6x + (7x) = 13x
12 + 13x + 15x = 180

Combine like terms: 13x + 15x = 28x
12 + 28x = 180

Solving
12 + 28x = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 28x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 28x = 180 + -12
28x = 180 + -12

Combine like terms: 180 + -12 = 168
28x = 168

Divide each side by '28'.
x = 6

Simplifying
x = 6

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