7h-5(h-4)=h-6+3h

Solution for 7h-5(h-4)=h-6+3h equation:

Simplifying
7h + -5(h + -4) = h + -6 + 3h

Reorder the terms:
7h + -5(-4 + h) = h + -6 + 3h
7h + (-4 * -5 + h * -5) = h + -6 + 3h
7h + (20 + -5h) = h + -6 + 3h

Reorder the terms:
20 + 7h + -5h = h + -6 + 3h

Combine like terms: 7h + -5h = 2h
20 + 2h = h + -6 + 3h

Reorder the terms:
20 + 2h = -6 + h + 3h

Combine like terms: h + 3h = 4h
20 + 2h = -6 + 4h

Solving
20 + 2h = -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.
20 + 2h + -4h = -6 + 4h + -4h

Combine like terms: 2h + -4h = -2h
20 + -2h = -6 + 4h + -4h

Combine like terms: 4h + -4h = 0
20 + -2h = -6 + 0
20 + -2h = -6

Add '-20' to each side of the equation.
20 + -20 + -2h = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -2h = -6 + -20
-2h = -6 + -20

Combine like terms: -6 + -20 = -26
-2h = -26

Divide each side by '-2'.
h = 13

Simplifying
h = 13