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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
-135 + 5x = 540

Solving for variable 'x'.

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

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

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

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

Divide each side by '5'.
x = 135

Simplifying
x = 135

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