12-(5h-4)+16h=3(7h+2)

Solution for 12-(5h-4)+16h=3(7h+2) equation:

Simplifying
12 + -1(5h + -4) + 16h = 3(7h + 2)

Reorder the terms:
12 + -1(-4 + 5h) + 16h = 3(7h + 2)
12 + (-4 * -1 + 5h * -1) + 16h = 3(7h + 2)
12 + (4 + -5h) + 16h = 3(7h + 2)

Combine like terms: 12 + 4 = 16
16 + -5h + 16h = 3(7h + 2)

Combine like terms: -5h + 16h = 11h
16 + 11h = 3(7h + 2)

Reorder the terms:
16 + 11h = 3(2 + 7h)
16 + 11h = (2 * 3 + 7h * 3)
16 + 11h = (6 + 21h)

Solving
16 + 11h = 6 + 21h

Solving for variable 'h'.

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

Add '-21h' to each side of the equation.
16 + 11h + -21h = 6 + 21h + -21h

Combine like terms: 11h + -21h = -10h
16 + -10h = 6 + 21h + -21h

Combine like terms: 21h + -21h = 0
16 + -10h = 6 + 0
16 + -10h = 6

Add '-16' to each side of the equation.
16 + -16 + -10h = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -10h = 6 + -16
-10h = 6 + -16

Combine like terms: 6 + -16 = -10
-10h = -10

Divide each side by '-10'.
h = 1

Simplifying
h = 1