360=(2x+10)+(2x-15)+(2x+5)+3x

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Solution for 360=(2x+10)+(2x-15)+(2x+5)+3x equation:


Simplifying
360 = (2x + 10) + (2x + -15) + (2x + 5) + 3x

Reorder the terms:
360 = (10 + 2x) + (2x + -15) + (2x + 5) + 3x

Remove parenthesis around (10 + 2x)
360 = 10 + 2x + (2x + -15) + (2x + 5) + 3x

Reorder the terms:
360 = 10 + 2x + (-15 + 2x) + (2x + 5) + 3x

Remove parenthesis around (-15 + 2x)
360 = 10 + 2x + -15 + 2x + (2x + 5) + 3x

Reorder the terms:
360 = 10 + 2x + -15 + 2x + (5 + 2x) + 3x

Remove parenthesis around (5 + 2x)
360 = 10 + 2x + -15 + 2x + 5 + 2x + 3x

Reorder the terms:
360 = 10 + -15 + 5 + 2x + 2x + 2x + 3x

Combine like terms: 10 + -15 = -5
360 = -5 + 5 + 2x + 2x + 2x + 3x

Combine like terms: -5 + 5 = 0
360 = 0 + 2x + 2x + 2x + 3x
360 = 2x + 2x + 2x + 3x

Combine like terms: 2x + 2x = 4x
360 = 4x + 2x + 3x

Combine like terms: 4x + 2x = 6x
360 = 6x + 3x

Combine like terms: 6x + 3x = 9x
360 = 9x

Solving
360 = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
360 + -9x = 9x + -9x

Combine like terms: 9x + -9x = 0
360 + -9x = 0

Add '-360' to each side of the equation.
360 + -360 + -9x = 0 + -360

Combine like terms: 360 + -360 = 0
0 + -9x = 0 + -360
-9x = 0 + -360

Combine like terms: 0 + -360 = -360
-9x = -360

Divide each side by '-9'.
x = 40

Simplifying
x = 40

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