2(4h-3)=3(2h+1)-5

Solution for 2(4h-3)=3(2h+1)-5 equation:

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

Reorder the terms:
2(-3 + 4h) = 3(2h + 1) + -5
(-3 * 2 + 4h * 2) = 3(2h + 1) + -5
(-6 + 8h) = 3(2h + 1) + -5

Reorder the terms:
-6 + 8h = 3(1 + 2h) + -5
-6 + 8h = (1 * 3 + 2h * 3) + -5
-6 + 8h = (3 + 6h) + -5

Reorder the terms:
-6 + 8h = 3 + -5 + 6h

Combine like terms: 3 + -5 = -2
-6 + 8h = -2 + 6h

Solving
-6 + 8h = -2 + 6h

Solving for variable 'h'.

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

Add '-6h' to each side of the equation.
-6 + 8h + -6h = -2 + 6h + -6h

Combine like terms: 8h + -6h = 2h
-6 + 2h = -2 + 6h + -6h

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

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

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

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

Divide each side by '2'.
h = 2

Simplifying
h = 2