70=(1-x)*100+x*20

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Solution for 70=(1-x)*100+x*20 equation:


Simplifying
70 = (1 + -1x) * 100 + x * 20

Reorder the terms for easier multiplication:
70 = 100(1 + -1x) + x * 20
70 = (1 * 100 + -1x * 100) + x * 20
70 = (100 + -100x) + x * 20

Reorder the terms for easier multiplication:
70 = 100 + -100x + 20x

Combine like terms: -100x + 20x = -80x
70 = 100 + -80x

Solving
70 = 100 + -80x

Solving for variable 'x'.

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

Add '80x' to each side of the equation.
70 + 80x = 100 + -80x + 80x

Combine like terms: -80x + 80x = 0
70 + 80x = 100 + 0
70 + 80x = 100

Add '-70' to each side of the equation.
70 + -70 + 80x = 100 + -70

Combine like terms: 70 + -70 = 0
0 + 80x = 100 + -70
80x = 100 + -70

Combine like terms: 100 + -70 = 30
80x = 30

Divide each side by '80'.
x = 0.375

Simplifying
x = 0.375

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