(x+2.5)-(0.1x+4)=11

Solution for (x+2.5)-(0.1x+4)=11 equation:

Simplifying
(x + 2.5) + -1(0.1x + 4) = 11

Reorder the terms:
(2.5 + x) + -1(0.1x + 4) = 11

Remove parenthesis around (2.5 + x)
2.5 + x + -1(0.1x + 4) = 11

Reorder the terms:
2.5 + x + -1(4 + 0.1x) = 11
2.5 + x + (4 * -1 + 0.1x * -1) = 11
2.5 + x + (-4 + -0.1x) = 11

Reorder the terms:
2.5 + -4 + x + -0.1x = 11

Combine like terms: 2.5 + -4 = -1.5
-1.5 + x + -0.1x = 11

Combine like terms: x + -0.1x = 0.9x
-1.5 + 0.9x = 11

Solving
-1.5 + 0.9x = 11

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.9x = 11 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.9x = 11 + 1.5
0.9x = 11 + 1.5

Combine like terms: 11 + 1.5 = 12.5
0.9x = 12.5

Divide each side by '0.9'.
x = 13.88888889

Simplifying
x = 13.88888889