x+0.1(2)=.20(2+x)

Solution for x+0.1(2)=.20(2+x) equation:

Simplifying
x + 0.1(2) = 0.20(2 + x)

Multiply 0.1 * 2
x + 0.2 = 0.20(2 + x)

Reorder the terms:
0.2 + x = 0.20(2 + x)
0.2 + x = (2 * 0.20 + x * 0.20)
0.2 + x = (0.4 + 0.20x)

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

Combine like terms: x + -0.20x = 0.8x
0.2 + 0.8x = 0.4 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
0.2 + 0.8x = 0.4 + 0.00
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