100(0.5x-0.5)=(0.75x+1-x)100

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Solution for 100(0.5x-0.5)=(0.75x+1-x)100 equation:


Simplifying
100(0.5x + -0.5) = (0.75x + 1 + -1x) * 100

Reorder the terms:
100(-0.5 + 0.5x) = (0.75x + 1 + -1x) * 100
(-0.5 * 100 + 0.5x * 100) = (0.75x + 1 + -1x) * 100
(-50 + 50x) = (0.75x + 1 + -1x) * 100

Reorder the terms:
-50 + 50x = (1 + 0.75x + -1x) * 100

Combine like terms: 0.75x + -1x = -0.25x
-50 + 50x = (1 + -0.25x) * 100

Reorder the terms for easier multiplication:
-50 + 50x = 100(1 + -0.25x)
-50 + 50x = (1 * 100 + -0.25x * 100)
-50 + 50x = (100 + -25x)

Solving
-50 + 50x = 100 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
-50 + 50x + 25x = 100 + -25x + 25x

Combine like terms: 50x + 25x = 75x
-50 + 75x = 100 + -25x + 25x

Combine like terms: -25x + 25x = 0
-50 + 75x = 100 + 0
-50 + 75x = 100

Add '50' to each side of the equation.
-50 + 50 + 75x = 100 + 50

Combine like terms: -50 + 50 = 0
0 + 75x = 100 + 50
75x = 100 + 50

Combine like terms: 100 + 50 = 150
75x = 150

Divide each side by '75'.
x = 2

Simplifying
x = 2

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