0.10(5)+x=0.20(5+x)

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Solution for 0.10(5)+x=0.20(5+x) equation: 


Simplifying
0.10(5) + x = 0.20(5 + x)

Multiply 0.10 * 5
0.5 + x = 0.20(5 + x)
0.5 + x = (5 * 0.20 + x * 0.20)
0.5 + x = (1 + 0.20x)

Solving
0.5 + x = 1 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
0.5 + x + -0.20x = 1 + 0.20x + -0.20x

Combine like terms: x + -0.20x = 0.8x
0.5 + 0.8x = 1 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
0.5 + 0.8x = 1 + 0.00
0.5 + 0.8x = 1

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.8x = 1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.8x = 1 + -0.5
0.8x = 1 + -0.5

Combine like terms: 1 + -0.5 = 0.5
0.8x = 0.5

Divide each side by '0.8'.
x = 0.625

Simplifying
x = 0.625

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