0.20x+0.90(300)=0.50(300+x)

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Solution for 0.20x+0.90(300)=0.50(300+x) equation: 


Simplifying
0.20x + 0.90(300) = 0.50(300 + x)

Multiply 0.90 * 300
0.20x + 270 = 0.50(300 + x)

Reorder the terms:
270 + 0.20x = 0.50(300 + x)
270 + 0.20x = (300 * 0.50 + x * 0.50)
270 + 0.20x = (150 + 0.50x)

Solving
270 + 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.
270 + 0.20x + -0.50x = 150 + 0.50x + -0.50x

Combine like terms: 0.20x + -0.50x = -0.3x
270 + -0.3x = 150 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
270 + -0.3x = 150 + 0.00
270 + -0.3x = 150

Add '-270' to each side of the equation.
270 + -270 + -0.3x = 150 + -270

Combine like terms: 270 + -270 = 0
0 + -0.3x = 150 + -270
-0.3x = 150 + -270

Combine like terms: 150 + -270 = -120
-0.3x = -120

Divide each side by '-0.3'.
x = 400

Simplifying
x = 400

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