0.1(4)+x=0.2(4+x)

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Solution for 0.1(4)+x=0.2(4+x) equation: 


Simplifying
0.1(4) + x = 0.2(4 + x)

Multiply 0.1 * 4
0.4 + x = 0.2(4 + x)
0.4 + x = (4 * 0.2 + x * 0.2)
0.4 + x = (0.8 + 0.2x)

Solving
0.4 + x = 0.8 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.4 + x + -0.2x = 0.8 + 0.2x + -0.2x

Combine like terms: x + -0.2x = 0.8x
0.4 + 0.8x = 0.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.4 + 0.8x = 0.8 + 0.0
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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