(180-(5x-50))+(2x+(x+30))=180

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Solution for (180-(5x-50))+(2x+(x+30))=180 equation:


Simplifying
(180 + -1(5x + -50)) + (2x + (x + 30)) = 180

Reorder the terms:
(180 + -1(-50 + 5x)) + (2x + (x + 30)) = 180
(180 + (-50 * -1 + 5x * -1)) + (2x + (x + 30)) = 180
(180 + (50 + -5x)) + (2x + (x + 30)) = 180

Combine like terms: 180 + 50 = 230
(230 + -5x) + (2x + (x + 30)) = 180

Remove parenthesis around (230 + -5x)
230 + -5x + (2x + (x + 30)) = 180

Reorder the terms:
230 + -5x + (2x + (30 + x)) = 180

Remove parenthesis around (30 + x)
230 + -5x + (2x + 30 + x) = 180

Reorder the terms:
230 + -5x + (30 + 2x + x) = 180

Combine like terms: 2x + x = 3x
230 + -5x + (30 + 3x) = 180

Remove parenthesis around (30 + 3x)
230 + -5x + 30 + 3x = 180

Reorder the terms:
230 + 30 + -5x + 3x = 180

Combine like terms: 230 + 30 = 260
260 + -5x + 3x = 180

Combine like terms: -5x + 3x = -2x
260 + -2x = 180

Solving
260 + -2x = 180

Solving for variable 'x'.

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

Add '-260' to each side of the equation.
260 + -260 + -2x = 180 + -260

Combine like terms: 260 + -260 = 0
0 + -2x = 180 + -260
-2x = 180 + -260

Combine like terms: 180 + -260 = -80
-2x = -80

Divide each side by '-2'.
x = 40

Simplifying
x = 40

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