(4x-10)+(2x+15)+x=180

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Solution for (4x-10)+(2x+15)+x=180 equation:


Simplifying
(4x + -10) + (2x + 15) + x = 180

Reorder the terms:
(-10 + 4x) + (2x + 15) + x = 180

Remove parenthesis around (-10 + 4x)
-10 + 4x + (2x + 15) + x = 180

Reorder the terms:
-10 + 4x + (15 + 2x) + x = 180

Remove parenthesis around (15 + 2x)
-10 + 4x + 15 + 2x + x = 180

Reorder the terms:
-10 + 15 + 4x + 2x + x = 180

Combine like terms: -10 + 15 = 5
5 + 4x + 2x + x = 180

Combine like terms: 4x + 2x = 6x
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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