0.5x+0.5x+(x-15)+(x-25)+100=540

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Solution for 0.5x+0.5x+(x-15)+(x-25)+100=540 equation:


Simplifying
0.5x + 0.5x + (x + -15) + (x + -25) + 100 = 540

Reorder the terms:
0.5x + 0.5x + (-15 + x) + (x + -25) + 100 = 540

Remove parenthesis around (-15 + x)
0.5x + 0.5x + -15 + x + (x + -25) + 100 = 540

Reorder the terms:
0.5x + 0.5x + -15 + x + (-25 + x) + 100 = 540

Remove parenthesis around (-25 + x)
0.5x + 0.5x + -15 + x + -25 + x + 100 = 540

Reorder the terms:
-15 + -25 + 100 + 0.5x + 0.5x + x + x = 540

Combine like terms: -15 + -25 = -40
-40 + 100 + 0.5x + 0.5x + x + x = 540

Combine like terms: -40 + 100 = 60
60 + 0.5x + 0.5x + x + x = 540

Combine like terms: 0.5x + 0.5x = 1x
60 + 1x + x + x = 540

Combine like terms: 1x + x = 2x
60 + 2x + x = 540

Combine like terms: 2x + x = 3x
60 + 3x = 540

Solving
60 + 3x = 540

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 3x = 540 + -60

Combine like terms: 60 + -60 = 0
0 + 3x = 540 + -60
3x = 540 + -60

Combine like terms: 540 + -60 = 480
3x = 480

Divide each side by '3'.
x = 160

Simplifying
x = 160

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