540=0.5x+0.5x+x-10+x-25+100

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Solution for 540=0.5x+0.5x+x-10+x-25+100 equation:


Simplifying
540 = 0.5x + 0.5x + x + -10 + x + -25 + 100

Reorder the terms:
540 = -10 + -25 + 100 + 0.5x + 0.5x + x + x

Combine like terms: -10 + -25 = -35
540 = -35 + 100 + 0.5x + 0.5x + x + x

Combine like terms: -35 + 100 = 65
540 = 65 + 0.5x + 0.5x + x + x

Combine like terms: 0.5x + 0.5x = 1x
540 = 65 + 1x + x + x

Combine like terms: 1x + x = 2x
540 = 65 + 2x + x

Combine like terms: 2x + x = 3x
540 = 65 + 3x

Solving
540 = 65 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
540 + -3x = 65 + 3x + -3x

Combine like terms: 3x + -3x = 0
540 + -3x = 65 + 0
540 + -3x = 65

Add '-540' to each side of the equation.
540 + -540 + -3x = 65 + -540

Combine like terms: 540 + -540 = 0
0 + -3x = 65 + -540
-3x = 65 + -540

Combine like terms: 65 + -540 = -475
-3x = -475

Divide each side by '-3'.
x = 158.3333333

Simplifying
x = 158.3333333

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