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

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


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

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

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

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

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

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

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

Combine like terms: 6x + x = 7x
5 + 7x = 180

Solving
5 + 7x = 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 + 7x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 180 + -5
7x = 180 + -5

Combine like terms: 180 + -5 = 175
7x = 175

Divide each side by '7'.
x = 25

Simplifying
x = 25

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