100(.5)+1.00x=0.75(x+100)

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Solution for 100(.5)+1.00x=0.75(x+100) equation: 


Simplifying
100(0.5) + 1.00x = 0.75(x + 100)

Multiply 100 * 0.5
50 + 1.00x = 0.75(x + 100)

Reorder the terms:
50 + 1.00x = 0.75(100 + x)
50 + 1.00x = (100 * 0.75 + x * 0.75)
50 + 1.00x = (75 + 0.75x)

Solving
50 + 1.00x = 75 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
50 + 1.00x + -0.75x = 75 + 0.75x + -0.75x

Combine like terms: 1.00x + -0.75x = 0.25x
50 + 0.25x = 75 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
50 + 0.25x = 75 + 0.00
50 + 0.25x = 75

Add '-50' to each side of the equation.
50 + -50 + 0.25x = 75 + -50

Combine like terms: 50 + -50 = 0
0 + 0.25x = 75 + -50
0.25x = 75 + -50

Combine like terms: 75 + -50 = 25
0.25x = 25

Divide each side by '0.25'.
x = 100

Simplifying
x = 100

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