0.10x+0.60(200)=0.30(x+500)

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Solution for 0.10x+0.60(200)=0.30(x+500) equation: 


Simplifying
0.10x + 0.60(200) = 0.30(x + 500)

Multiply 0.60 * 200
0.10x + 120 = 0.30(x + 500)

Reorder the terms:
120 + 0.10x = 0.30(x + 500)

Reorder the terms:
120 + 0.10x = 0.30(500 + x)
120 + 0.10x = (500 * 0.30 + x * 0.30)
120 + 0.10x = (150 + 0.30x)

Solving
120 + 0.10x = 150 + 0.30x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.30x' to each side of the equation.
120 + 0.10x + -0.30x = 150 + 0.30x + -0.30x

Combine like terms: 0.10x + -0.30x = -0.2x
120 + -0.2x = 150 + 0.30x + -0.30x

Combine like terms: 0.30x + -0.30x = 0.00
120 + -0.2x = 150 + 0.00
120 + -0.2x = 150

Add '-120' to each side of the equation.
120 + -120 + -0.2x = 150 + -120

Combine like terms: 120 + -120 = 0
0 + -0.2x = 150 + -120
-0.2x = 150 + -120

Combine like terms: 150 + -120 = 30
-0.2x = 30

Divide each side by '-0.2'.
x = -150

Simplifying
x = -150

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