.40x+0.90(500)=.50(500+x)

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Solution for .40x+0.90(500)=.50(500+x) equation: 


Simplifying
0.40x + 0.90(500) = 0.50(500 + x)

Multiply 0.90 * 500
0.40x + 450 = 0.50(500 + x)

Reorder the terms:
450 + 0.40x = 0.50(500 + x)
450 + 0.40x = (500 * 0.50 + x * 0.50)
450 + 0.40x = (250 + 0.50x)

Solving
450 + 0.40x = 250 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
450 + 0.40x + -0.50x = 250 + 0.50x + -0.50x

Combine like terms: 0.40x + -0.50x = -0.1x
450 + -0.1x = 250 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
450 + -0.1x = 250 + 0.00
450 + -0.1x = 250

Add '-450' to each side of the equation.
450 + -450 + -0.1x = 250 + -450

Combine like terms: 450 + -450 = 0
0 + -0.1x = 250 + -450
-0.1x = 250 + -450

Combine like terms: 250 + -450 = -200
-0.1x = -200

Divide each side by '-0.1'.
x = 2000

Simplifying
x = 2000

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