(3h+2)=(9h+4)+2(3h+2)-1

Solution for (3h+2)=(9h+4)+2(3h+2)-1 equation:

Simplifying
(3h + 2) = (9h + 4) + 2(3h + 2) + -1

Reorder the terms:
(2 + 3h) = (9h + 4) + 2(3h + 2) + -1

Remove parenthesis around (2 + 3h)
2 + 3h = (9h + 4) + 2(3h + 2) + -1

Reorder the terms:
2 + 3h = (4 + 9h) + 2(3h + 2) + -1

Remove parenthesis around (4 + 9h)
2 + 3h = 4 + 9h + 2(3h + 2) + -1

Reorder the terms:
2 + 3h = 4 + 9h + 2(2 + 3h) + -1
2 + 3h = 4 + 9h + (2 * 2 + 3h * 2) + -1
2 + 3h = 4 + 9h + (4 + 6h) + -1

Reorder the terms:
2 + 3h = 4 + 4 + -1 + 9h + 6h

Combine like terms: 4 + 4 = 8
2 + 3h = 8 + -1 + 9h + 6h

Combine like terms: 8 + -1 = 7
2 + 3h = 7 + 9h + 6h

Combine like terms: 9h + 6h = 15h
2 + 3h = 7 + 15h

Solving
2 + 3h = 7 + 15h

Solving for variable 'h'.

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

Add '-15h' to each side of the equation.
2 + 3h + -15h = 7 + 15h + -15h

Combine like terms: 3h + -15h = -12h
2 + -12h = 7 + 15h + -15h

Combine like terms: 15h + -15h = 0
2 + -12h = 7 + 0
2 + -12h = 7

Add '-2' to each side of the equation.
2 + -2 + -12h = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -12h = 7 + -2
-12h = 7 + -2

Combine like terms: 7 + -2 = 5
-12h = 5

Divide each side by '-12'.
h = -0.4166666667

Simplifying
h = -0.4166666667