(x-30)+(x-30)+(x-30)+x+x=540

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Solution for (x-30)+(x-30)+(x-30)+x+x=540 equation:


Simplifying
(x + -30) + (x + -30) + (x + -30) + x + x = 540

Reorder the terms:
(-30 + x) + (x + -30) + (x + -30) + x + x = 540

Remove parenthesis around (-30 + x)
-30 + x + (x + -30) + (x + -30) + x + x = 540

Reorder the terms:
-30 + x + (-30 + x) + (x + -30) + x + x = 540

Remove parenthesis around (-30 + x)
-30 + x + -30 + x + (x + -30) + x + x = 540

Reorder the terms:
-30 + x + -30 + x + (-30 + x) + x + x = 540

Remove parenthesis around (-30 + x)
-30 + x + -30 + x + -30 + x + x + x = 540

Reorder the terms:
-30 + -30 + -30 + x + x + x + x + x = 540

Combine like terms: -30 + -30 = -60
-60 + -30 + x + x + x + x + x = 540

Combine like terms: -60 + -30 = -90
-90 + x + x + x + x + x = 540

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

Combine like terms: 2x + x = 3x
-90 + 3x + x + x = 540

Combine like terms: 3x + x = 4x
-90 + 4x + x = 540

Combine like terms: 4x + x = 5x
-90 + 5x = 540

Solving
-90 + 5x = 540

Solving for variable 'x'.

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

Add '90' to each side of the equation.
-90 + 90 + 5x = 540 + 90

Combine like terms: -90 + 90 = 0
0 + 5x = 540 + 90
5x = 540 + 90

Combine like terms: 540 + 90 = 630
5x = 630

Divide each side by '5'.
x = 126

Simplifying
x = 126

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