(1+x)(.20)-x(.10)=.26

Solution for (1+x)(.20)-x(.10)=.26 equation:

Simplifying
(1 + x)(0.20) + -1x(0.10) = 0.26

Reorder the terms for easier multiplication:
0.20(1 + x) + -1x(0.10) = 0.26
(1 * 0.20 + x * 0.20) + -1x(0.10) = 0.26
(0.2 + 0.20x) + -1x(0.10) = 0.26

Reorder the terms for easier multiplication:
0.2 + 0.20x + -1 * 0.10x = 0.26

Multiply -1 * 0.10
0.2 + 0.20x + -0.1x = 0.26

Combine like terms: 0.20x + -0.1x = 0.1x
0.2 + 0.1x = 0.26

Solving
0.2 + 0.1x = 0.26

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.1x = 0.26 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.1x = 0.26 + -0.2
0.1x = 0.26 + -0.2

Combine like terms: 0.26 + -0.2 = 0.06
0.1x = 0.06

Divide each side by '0.1'.
x = 0.6

Simplifying
x = 0.6