(x+2.6)-(0.1x+6)=12

Solution for (x+2.6)-(0.1x+6)=12 equation:

Simplifying
(x + 2.6) + -1(0.1x + 6) = 12

Reorder the terms:
(2.6 + x) + -1(0.1x + 6) = 12

Remove parenthesis around (2.6 + x)
2.6 + x + -1(0.1x + 6) = 12

Reorder the terms:
2.6 + x + -1(6 + 0.1x) = 12
2.6 + x + (6 * -1 + 0.1x * -1) = 12
2.6 + x + (-6 + -0.1x) = 12

Reorder the terms:
2.6 + -6 + x + -0.1x = 12

Combine like terms: 2.6 + -6 = -3.4
-3.4 + x + -0.1x = 12

Combine like terms: x + -0.1x = 0.9x
-3.4 + 0.9x = 12

Solving
-3.4 + 0.9x = 12

Solving for variable 'x'.

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

Add '3.4' to each side of the equation.
-3.4 + 3.4 + 0.9x = 12 + 3.4

Combine like terms: -3.4 + 3.4 = 0.0
0.0 + 0.9x = 12 + 3.4
0.9x = 12 + 3.4

Combine like terms: 12 + 3.4 = 15.4
0.9x = 15.4

Divide each side by '0.9'.
x = 17.11111111

Simplifying
x = 17.11111111