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

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

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

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

Reorder the terms:
-3 + 6h + -2(-9 + h) = 2(h + -9) + -1
-3 + 6h + (-9 * -2 + h * -2) = 2(h + -9) + -1
-3 + 6h + (18 + -2h) = 2(h + -9) + -1

Reorder the terms:
-3 + 18 + 6h + -2h = 2(h + -9) + -1

Combine like terms: -3 + 18 = 15
15 + 6h + -2h = 2(h + -9) + -1

Combine like terms: 6h + -2h = 4h
15 + 4h = 2(h + -9) + -1

Reorder the terms:
15 + 4h = 2(-9 + h) + -1
15 + 4h = (-9 * 2 + h * 2) + -1
15 + 4h = (-18 + 2h) + -1

Reorder the terms:
15 + 4h = -18 + -1 + 2h

Combine like terms: -18 + -1 = -19
15 + 4h = -19 + 2h

Solving
15 + 4h = -19 + 2h

Solving for variable 'h'.

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

Add '-2h' to each side of the equation.
15 + 4h + -2h = -19 + 2h + -2h

Combine like terms: 4h + -2h = 2h
15 + 2h = -19 + 2h + -2h

Combine like terms: 2h + -2h = 0
15 + 2h = -19 + 0
15 + 2h = -19

Add '-15' to each side of the equation.
15 + -15 + 2h = -19 + -15

Combine like terms: 15 + -15 = 0
0 + 2h = -19 + -15
2h = -19 + -15

Combine like terms: -19 + -15 = -34
2h = -34

Divide each side by '2'.
h = -17

Simplifying
h = -17