(x+5)+(4x-55)+(7x-130)=180

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Solution for (x+5)+(4x-55)+(7x-130)=180 equation:


Simplifying
(x + 5) + (4x + -55) + (7x + -130) = 180

Reorder the terms:
(5 + x) + (4x + -55) + (7x + -130) = 180

Remove parenthesis around (5 + x)
5 + x + (4x + -55) + (7x + -130) = 180

Reorder the terms:
5 + x + (-55 + 4x) + (7x + -130) = 180

Remove parenthesis around (-55 + 4x)
5 + x + -55 + 4x + (7x + -130) = 180

Reorder the terms:
5 + x + -55 + 4x + (-130 + 7x) = 180

Remove parenthesis around (-130 + 7x)
5 + x + -55 + 4x + -130 + 7x = 180

Reorder the terms:
5 + -55 + -130 + x + 4x + 7x = 180

Combine like terms: 5 + -55 = -50
-50 + -130 + x + 4x + 7x = 180

Combine like terms: -50 + -130 = -180
-180 + x + 4x + 7x = 180

Combine like terms: x + 4x = 5x
-180 + 5x + 7x = 180

Combine like terms: 5x + 7x = 12x
-180 + 12x = 180

Solving
-180 + 12x = 180

Solving for variable 'x'.

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

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

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

Combine like terms: 180 + 180 = 360
12x = 360

Divide each side by '12'.
x = 30

Simplifying
x = 30

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