0.1(2)+x=0.2(2+x)

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Solution for 0.1(2)+x=0.2(2+x) equation: 


Simplifying
0.1(2) + x = 0.2(2 + x)

Multiply 0.1 * 2
0.2 + x = 0.2(2 + x)
0.2 + x = (2 * 0.2 + x * 0.2)
0.2 + x = (0.4 + 0.2x)

Solving
0.2 + x = 0.4 + 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.
0.2 + x + -0.2x = 0.4 + 0.2x + -0.2x

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

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

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

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

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

Divide each side by '0.8'.
x = 0.25

Simplifying
x = 0.25

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