.1(3)+x=.2(3+x)

Solution for .1(3)+x=.2(3+x) equation:

Simplifying
0.1(3) + x = 0.2(3 + x)

Multiply 0.1 * 3
0.3 + x = 0.2(3 + x)
0.3 + x = (3 * 0.2 + x * 0.2)
0.3 + x = (0.6 + 0.2x)

Solving
0.3 + x = 0.6 + 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.
0.3 + x + -0.2x = 0.6 + 0.2x + -0.2x

Combine like terms: x + -0.2x = 0.8x
0.3 + 0.8x = 0.6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.3 + 0.8x = 0.6 + 0.0
0.3 + 0.8x = 0.6

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.8x = 0.6 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.8x = 0.6 + -0.3
0.8x = 0.6 + -0.3

Combine like terms: 0.6 + -0.3 = 0.3
0.8x = 0.3

Divide each side by '0.8'.
x = 0.375

Simplifying
x = 0.375