0.20x+0.80(300)=0.50(300+x)

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Solution for 0.20x+0.80(300)=0.50(300+x) equation: 


Simplifying
0.20x + 0.80(300) = 0.50(300 + x)

Multiply 0.80 * 300
0.20x + 240 = 0.50(300 + x)

Reorder the terms:
240 + 0.20x = 0.50(300 + x)
240 + 0.20x = (300 * 0.50 + x * 0.50)
240 + 0.20x = (150 + 0.50x)

Solving
240 + 0.20x = 150 + 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.
240 + 0.20x + -0.50x = 150 + 0.50x + -0.50x

Combine like terms: 0.20x + -0.50x = -0.3x
240 + -0.3x = 150 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
240 + -0.3x = 150 + 0.00
240 + -0.3x = 150

Add '-240' to each side of the equation.
240 + -240 + -0.3x = 150 + -240

Combine like terms: 240 + -240 = 0
0 + -0.3x = 150 + -240
-0.3x = 150 + -240

Combine like terms: 150 + -240 = -90
-0.3x = -90

Divide each side by '-0.3'.
x = 300

Simplifying
x = 300

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