6(1.5h-1)=5(2.2h+3)

Solution for 6(1.5h-1)=5(2.2h+3) equation:

Simplifying
6(1.5h + -1) = 5(2.2h + 3)

Reorder the terms:
6(-1 + 1.5h) = 5(2.2h + 3)
(-1 * 6 + 1.5h * 6) = 5(2.2h + 3)
(-6 + 9h) = 5(2.2h + 3)

Reorder the terms:
-6 + 9h = 5(3 + 2.2h)
-6 + 9h = (3 * 5 + 2.2h * 5)
-6 + 9h = (15 + 11h)

Solving
-6 + 9h = 15 + 11h

Solving for variable 'h'.

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

Add '-11h' to each side of the equation.
-6 + 9h + -11h = 15 + 11h + -11h

Combine like terms: 9h + -11h = -2h
-6 + -2h = 15 + 11h + -11h

Combine like terms: 11h + -11h = 0
-6 + -2h = 15 + 0
-6 + -2h = 15

Add '6' to each side of the equation.
-6 + 6 + -2h = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -2h = 15 + 6
-2h = 15 + 6

Combine like terms: 15 + 6 = 21
-2h = 21

Divide each side by '-2'.
h = -10.5

Simplifying
h = -10.5