.5x+(x-25)+100+.5x+(x-15)=540

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Solution for .5x+(x-25)+100+.5x+(x-15)=540 equation:


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

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

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

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

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

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

Combine like terms: -25 + 100 = 75
75 + -15 + 0.5x + x + 0.5x + x = 540

Combine like terms: 75 + -15 = 60
60 + 0.5x + x + 0.5x + x = 540

Combine like terms: 0.5x + x = 1.5x
60 + 1.5x + 0.5x + x = 540

Combine like terms: 1.5x + 0.5x = 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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