500(.60)+.30x=.50(500+x)

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Solution for 500(.60)+.30x=.50(500+x) equation: 


Simplifying
500(0.60) + 0.30x = 0.50(500 + x)

Multiply 500 * 0.60
300 + 0.30x = 0.50(500 + x)
300 + 0.30x = (500 * 0.50 + x * 0.50)
300 + 0.30x = (250 + 0.50x)

Solving
300 + 0.30x = 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.
300 + 0.30x + -0.50x = 250 + 0.50x + -0.50x

Combine like terms: 0.30x + -0.50x = -0.2x
300 + -0.2x = 250 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
300 + -0.2x = 250 + 0.00
300 + -0.2x = 250

Add '-300' to each side of the equation.
300 + -300 + -0.2x = 250 + -300

Combine like terms: 300 + -300 = 0
0 + -0.2x = 250 + -300
-0.2x = 250 + -300

Combine like terms: 250 + -300 = -50
-0.2x = -50

Divide each side by '-0.2'.
x = 250

Simplifying
x = 250

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