160=(240*x)+(1-x)*(90)

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Solution for 160=(240*x)+(1-x)*(90) equation:


Simplifying
160 = (240x) + (1 + -1x)(90)

Reorder the terms for easier multiplication:
160 = (240x) + 90(1 + -1x)
160 = (240x) + (1 * 90 + -1x * 90)
160 = (240x) + (90 + -90x)

Reorder the terms:
160 = 90 + (240x) + -90x

Combine like terms: (240x) + -90x = 150x
160 = 90 + 150x

Solving
160 = 90 + 150x

Solving for variable 'x'.

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

Add '-150x' to each side of the equation.
160 + -150x = 90 + 150x + -150x

Combine like terms: 150x + -150x = 0
160 + -150x = 90 + 0
160 + -150x = 90

Add '-160' to each side of the equation.
160 + -160 + -150x = 90 + -160

Combine like terms: 160 + -160 = 0
0 + -150x = 90 + -160
-150x = 90 + -160

Combine like terms: 90 + -160 = -70
-150x = -70

Divide each side by '-150'.
x = 0.4666666667

Simplifying
x = 0.4666666667

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