.1(6)+x=.2(6+x)

Solution for .1(6)+x=.2(6+x) equation:

Simplifying
0.1(6) + x = 0.2(6 + x)

Multiply 0.1 * 6
0.6 + x = 0.2(6 + x)
0.6 + x = (6 * 0.2 + x * 0.2)
0.6 + x = (1.2 + 0.2x)

Solving
0.6 + x = 1.2 + 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.
0.6 + x + -0.2x = 1.2 + 0.2x + -0.2x

Combine like terms: x + -0.2x = 0.8x
0.6 + 0.8x = 1.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.6 + 0.8x = 1.2 + 0.0
0.6 + 0.8x = 1.2

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.8x = 1.2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.8x = 1.2 + -0.6
0.8x = 1.2 + -0.6

Combine like terms: 1.2 + -0.6 = 0.6
0.8x = 0.6

Divide each side by '0.8'.
x = 0.75

Simplifying
x = 0.75