80=(100-X)+0.5X

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Solution for 80=(100-X)+0.5X equation:


Simplifying
80 = (100 + -1X) + 0.5X

Remove parenthesis around (100 + -1X)
80 = 100 + -1X + 0.5X

Combine like terms: -1X + 0.5X = -0.5X
80 = 100 + -0.5X

Solving
80 = 100 + -0.5X

Solving for variable 'X'.

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

Add '0.5X' to each side of the equation.
80 + 0.5X = 100 + -0.5X + 0.5X

Combine like terms: -0.5X + 0.5X = 0.0
80 + 0.5X = 100 + 0.0
80 + 0.5X = 100

Add '-80' to each side of the equation.
80 + -80 + 0.5X = 100 + -80

Combine like terms: 80 + -80 = 0
0 + 0.5X = 100 + -80
0.5X = 100 + -80

Combine like terms: 100 + -80 = 20
0.5X = 20

Divide each side by '0.5'.
X = 40

Simplifying
X = 40

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