540=2x+(x-45)+(x-45)+(x-45)

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Solution for 540=2x+(x-45)+(x-45)+(x-45) equation:


Simplifying
540 = 2x + (x + -45) + (x + -45) + (x + -45)

Reorder the terms:
540 = 2x + (-45 + x) + (x + -45) + (x + -45)

Remove parenthesis around (-45 + x)
540 = 2x + -45 + x + (x + -45) + (x + -45)

Reorder the terms:
540 = 2x + -45 + x + (-45 + x) + (x + -45)

Remove parenthesis around (-45 + x)
540 = 2x + -45 + x + -45 + x + (x + -45)

Reorder the terms:
540 = 2x + -45 + x + -45 + x + (-45 + x)

Remove parenthesis around (-45 + x)
540 = 2x + -45 + x + -45 + x + -45 + x

Reorder the terms:
540 = -45 + -45 + -45 + 2x + x + x + x

Combine like terms: -45 + -45 = -90
540 = -90 + -45 + 2x + x + x + x

Combine like terms: -90 + -45 = -135
540 = -135 + 2x + x + x + x

Combine like terms: 2x + x = 3x
540 = -135 + 3x + x + x

Combine like terms: 3x + x = 4x
540 = -135 + 4x + x

Combine like terms: 4x + x = 5x
540 = -135 + 5x

Solving
540 = -135 + 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.
540 + -5x = -135 + 5x + -5x

Combine like terms: 5x + -5x = 0
540 + -5x = -135 + 0
540 + -5x = -135

Add '-540' to each side of the equation.
540 + -540 + -5x = -135 + -540

Combine like terms: 540 + -540 = 0
0 + -5x = -135 + -540
-5x = -135 + -540

Combine like terms: -135 + -540 = -675
-5x = -675

Divide each side by '-5'.
x = 135

Simplifying
x = 135

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