x=100+0.8(100-0.25x)

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Solution for x=100+0.8(100-0.25x) equation: 


Simplifying
x = 100 + 0.8(100 + -0.25x)
x = 100 + (100 * 0.8 + -0.25x * 0.8)
x = 100 + (80 + -0.2x)

Combine like terms: 100 + 80 = 180
x = 180 + -0.2x

Solving
x = 180 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
x + 0.2x = 180 + -0.2x + 0.2x

Combine like terms: x + 0.2x = 1.2x
1.2x = 180 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
1.2x = 180 + 0.0
1.2x = 180

Divide each side by '1.2'.
x = 150

Simplifying
x = 150

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