.20(10)+x=.50(x+10)

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Solution for .20(10)+x=.50(x+10) equation: 


Simplifying
0.20(10) + x = 0.50(x + 10)

Multiply 0.20 * 10
2 + x = 0.50(x + 10)

Reorder the terms:
2 + x = 0.50(10 + x)
2 + x = (10 * 0.50 + x * 0.50)
2 + x = (5 + 0.50x)

Solving
2 + x = 5 + 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.
2 + x + -0.50x = 5 + 0.50x + -0.50x

Combine like terms: x + -0.50x = 0.5x
2 + 0.5x = 5 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
2 + 0.5x = 5 + 0.00
2 + 0.5x = 5

Add '-2' to each side of the equation.
2 + -2 + 0.5x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 0.5x = 5 + -2
0.5x = 5 + -2

Combine like terms: 5 + -2 = 3
0.5x = 3

Divide each side by '0.5'.
x = 6

Simplifying
x = 6

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