360=x+(2x+10)+(2x-20)

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Solution for 360=x+(2x+10)+(2x-20) equation:


Simplifying
360 = x + (2x + 10) + (2x + -20)

Reorder the terms:
360 = x + (10 + 2x) + (2x + -20)

Remove parenthesis around (10 + 2x)
360 = x + 10 + 2x + (2x + -20)

Reorder the terms:
360 = x + 10 + 2x + (-20 + 2x)

Remove parenthesis around (-20 + 2x)
360 = x + 10 + 2x + -20 + 2x

Reorder the terms:
360 = 10 + -20 + x + 2x + 2x

Combine like terms: 10 + -20 = -10
360 = -10 + x + 2x + 2x

Combine like terms: x + 2x = 3x
360 = -10 + 3x + 2x

Combine like terms: 3x + 2x = 5x
360 = -10 + 5x

Solving
360 = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
360 + -5x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
360 + -5x = -10 + 0
360 + -5x = -10

Add '-360' to each side of the equation.
360 + -360 + -5x = -10 + -360

Combine like terms: 360 + -360 = 0
0 + -5x = -10 + -360
-5x = -10 + -360

Combine like terms: -10 + -360 = -370
-5x = -370

Divide each side by '-5'.
x = 74

Simplifying
x = 74

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