90=x+0.04(180-x)

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Solution for 90=x+0.04(180-x) equation: 


Simplifying
90 = x + 0.04(180 + -1x)
90 = x + (180 * 0.04 + -1x * 0.04)
90 = x + (7.2 + -0.04x)

Reorder the terms:
90 = 7.2 + x + -0.04x

Combine like terms: x + -0.04x = 0.96x
90 = 7.2 + 0.96x

Solving
90 = 7.2 + 0.96x

Solving for variable 'x'.

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

Add '-0.96x' to each side of the equation.
90 + -0.96x = 7.2 + 0.96x + -0.96x

Combine like terms: 0.96x + -0.96x = 0.00
90 + -0.96x = 7.2 + 0.00
90 + -0.96x = 7.2

Add '-90' to each side of the equation.
90 + -90 + -0.96x = 7.2 + -90

Combine like terms: 90 + -90 = 0
0 + -0.96x = 7.2 + -90
-0.96x = 7.2 + -90

Combine like terms: 7.2 + -90 = -82.8
-0.96x = -82.8

Divide each side by '-0.96'.
x = 86.25

Simplifying
x = 86.25

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