(x+2.8)-(0.1x+5)=10

Solution for (x+2.8)-(0.1x+5)=10 equation:

Simplifying
(x + 2.8) + -1(0.1x + 5) = 10

Reorder the terms:
(2.8 + x) + -1(0.1x + 5) = 10

Remove parenthesis around (2.8 + x)
2.8 + x + -1(0.1x + 5) = 10

Reorder the terms:
2.8 + x + -1(5 + 0.1x) = 10
2.8 + x + (5 * -1 + 0.1x * -1) = 10
2.8 + x + (-5 + -0.1x) = 10

Reorder the terms:
2.8 + -5 + x + -0.1x = 10

Combine like terms: 2.8 + -5 = -2.2
-2.2 + x + -0.1x = 10

Combine like terms: x + -0.1x = 0.9x
-2.2 + 0.9x = 10

Solving
-2.2 + 0.9x = 10

Solving for variable 'x'.

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

Add '2.2' to each side of the equation.
-2.2 + 2.2 + 0.9x = 10 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + 0.9x = 10 + 2.2
0.9x = 10 + 2.2

Combine like terms: 10 + 2.2 = 12.2
0.9x = 12.2

Divide each side by '0.9'.
x = 13.55555556

Simplifying
x = 13.55555556