.60x+.20(100)=.50(x+100)

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Solution for .60x+.20(100)=.50(x+100) equation: 


Simplifying
0.60x + 0.20(100) = 0.50(x + 100)

Multiply 0.20 * 100
0.60x + 20 = 0.50(x + 100)

Reorder the terms:
20 + 0.60x = 0.50(x + 100)

Reorder the terms:
20 + 0.60x = 0.50(100 + x)
20 + 0.60x = (100 * 0.50 + x * 0.50)
20 + 0.60x = (50 + 0.50x)

Solving
20 + 0.60x = 50 + 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.
20 + 0.60x + -0.50x = 50 + 0.50x + -0.50x

Combine like terms: 0.60x + -0.50x = 0.1x
20 + 0.1x = 50 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
20 + 0.1x = 50 + 0.00
20 + 0.1x = 50

Add '-20' to each side of the equation.
20 + -20 + 0.1x = 50 + -20

Combine like terms: 20 + -20 = 0
0 + 0.1x = 50 + -20
0.1x = 50 + -20

Combine like terms: 50 + -20 = 30
0.1x = 30

Divide each side by '0.1'.
x = 300

Simplifying
x = 300

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