.50x+.25(90)=.40(x+90)

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Solution for .50x+.25(90)=.40(x+90) equation: 


Simplifying
0.50x + 0.25(90) = 0.40(x + 90)

Multiply 0.25 * 90
0.50x + 22.5 = 0.40(x + 90)

Reorder the terms:
22.5 + 0.50x = 0.40(x + 90)

Reorder the terms:
22.5 + 0.50x = 0.40(90 + x)
22.5 + 0.50x = (90 * 0.40 + x * 0.40)
22.5 + 0.50x = (36 + 0.40x)

Solving
22.5 + 0.50x = 36 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
22.5 + 0.50x + -0.40x = 36 + 0.40x + -0.40x

Combine like terms: 0.50x + -0.40x = 0.1x
22.5 + 0.1x = 36 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
22.5 + 0.1x = 36 + 0.00
22.5 + 0.1x = 36

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 0.1x = 36 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 0.1x = 36 + -22.5
0.1x = 36 + -22.5

Combine like terms: 36 + -22.5 = 13.5
0.1x = 13.5

Divide each side by '0.1'.
x = 135

Simplifying
x = 135

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