.40(x+300)=.10(300)+.50x

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Solution for .40(x+300)=.10(300)+.50x equation: 


Simplifying
0.40(x + 300) = 0.10(300) + 0.50x

Reorder the terms:
0.40(300 + x) = 0.10(300) + 0.50x
(300 * 0.40 + x * 0.40) = 0.10(300) + 0.50x
(120 + 0.40x) = 0.10(300) + 0.50x

Multiply 0.10 * 300
120 + 0.40x = 30 + 0.50x

Solving
120 + 0.40x = 30 + 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.
120 + 0.40x + -0.50x = 30 + 0.50x + -0.50x

Combine like terms: 0.40x + -0.50x = -0.1x
120 + -0.1x = 30 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
120 + -0.1x = 30 + 0.00
120 + -0.1x = 30

Add '-120' to each side of the equation.
120 + -120 + -0.1x = 30 + -120

Combine like terms: 120 + -120 = 0
0 + -0.1x = 30 + -120
-0.1x = 30 + -120

Combine like terms: 30 + -120 = -90
-0.1x = -90

Divide each side by '-0.1'.
x = 900

Simplifying
x = 900

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