11.6=-1.3(5h-2)+2.5h

Solution for 11.6=-1.3(5h-2)+2.5h equation:

Simplifying
11.6 = -1.3(5h + -2) + 2.5h

Reorder the terms:
11.6 = -1.3(-2 + 5h) + 2.5h
11.6 = (-2 * -1.3 + 5h * -1.3) + 2.5h
11.6 = (2.6 + -6.5h) + 2.5h

Combine like terms: -6.5h + 2.5h = -4h
11.6 = 2.6 + -4h

Solving
11.6 = 2.6 + -4h

Solving for variable 'h'.

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

Add '4h' to each side of the equation.
11.6 + 4h = 2.6 + -4h + 4h

Combine like terms: -4h + 4h = 0
11.6 + 4h = 2.6 + 0
11.6 + 4h = 2.6

Add '-11.6' to each side of the equation.
11.6 + -11.6 + 4h = 2.6 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + 4h = 2.6 + -11.6
4h = 2.6 + -11.6

Combine like terms: 2.6 + -11.6 = -9
4h = -9

Divide each side by '4'.
h = -2.25

Simplifying
h = -2.25