.10(4)+x=.20(4+x)

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Solution for .10(4)+x=.20(4+x) equation: 


Simplifying
0.10(4) + x = 0.20(4 + x)

Multiply 0.10 * 4
0.4 + x = 0.20(4 + x)
0.4 + x = (4 * 0.20 + x * 0.20)
0.4 + x = (0.8 + 0.20x)

Solving
0.4 + x = 0.8 + 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.
0.4 + x + -0.20x = 0.8 + 0.20x + -0.20x

Combine like terms: x + -0.20x = 0.8x
0.4 + 0.8x = 0.8 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
0.4 + 0.8x = 0.8 + 0.00
0.4 + 0.8x = 0.8

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.8x = 0.8 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.8x = 0.8 + -0.4
0.8x = 0.8 + -0.4

Combine like terms: 0.8 + -0.4 = 0.4
0.8x = 0.4

Divide each side by '0.8'.
x = 0.5

Simplifying
x = 0.5

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