100=x+.5x+.25x+1

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Solution for 100=x+.5x+.25x+1 equation:


Simplifying
100 = x + 0.5x + 0.25x + 1

Reorder the terms:
100 = 1 + x + 0.5x + 0.25x

Combine like terms: x + 0.5x = 1.5x
100 = 1 + 1.5x + 0.25x

Combine like terms: 1.5x + 0.25x = 1.75x
100 = 1 + 1.75x

Solving
100 = 1 + 1.75x

Solving for variable 'x'.

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

Add '-1.75x' to each side of the equation.
100 + -1.75x = 1 + 1.75x + -1.75x

Combine like terms: 1.75x + -1.75x = 0.00
100 + -1.75x = 1 + 0.00
100 + -1.75x = 1

Add '-100' to each side of the equation.
100 + -100 + -1.75x = 1 + -100

Combine like terms: 100 + -100 = 0
0 + -1.75x = 1 + -100
-1.75x = 1 + -100

Combine like terms: 1 + -100 = -99
-1.75x = -99

Divide each side by '-1.75'.
x = 56.57142857

Simplifying
x = 56.57142857

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