0.10(4)+x=.50(4+x)

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Solution for 0.10(4)+x=.50(4+x) equation: 


Simplifying
0.10(4) + x = 0.50(4 + x)

Multiply 0.10 * 4
0.4 + x = 0.50(4 + x)
0.4 + x = (4 * 0.50 + x * 0.50)
0.4 + x = (2 + 0.50x)

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

Combine like terms: x + -0.50x = 0.5x
0.4 + 0.5x = 2 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
0.4 + 0.5x = 2 + 0.00
0.4 + 0.5x = 2

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.5x = 2 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.5x = 2 + -0.4
0.5x = 2 + -0.4

Combine like terms: 2 + -0.4 = 1.6
0.5x = 1.6

Divide each side by '0.5'.
x = 3.2

Simplifying
x = 3.2

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