.1=.05+(x-.05)

Solution for .1=.05+(x-.05) equation:

Simplifying
0.1 = 0.05 + (x + -0.05)

Reorder the terms:
0.1 = 0.05 + (-0.05 + x)

Remove parenthesis around (-0.05 + x)
0.1 = 0.05 + -0.05 + x

Combine like terms: 0.05 + -0.05 = 0.00
0.1 = 0.00 + x
0.1 = x

Solving
0.1 = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.1 + -1x = x + -1x

Combine like terms: x + -1x = 0
0.1 + -1x = 0

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -1x = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -1x = 0 + -0.1
-1x = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
-1x = -0.1

Divide each side by '-1'.
x = 0.1

Simplifying
x = 0.1