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

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

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

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

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

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

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

Combine like terms: 6h + -2h = 4h
-3 + 4h = 2(h + -3) + -1

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

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

Combine like terms: -6 + -1 = -7
-3 + 4h = -7 + 2h

Solving
-3 + 4h = -7 + 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.
-3 + 4h + -2h = -7 + 2h + -2h

Combine like terms: 4h + -2h = 2h
-3 + 2h = -7 + 2h + -2h

Combine like terms: 2h + -2h = 0
-3 + 2h = -7 + 0
-3 + 2h = -7

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

Combine like terms: -3 + 3 = 0
0 + 2h = -7 + 3
2h = -7 + 3

Combine like terms: -7 + 3 = -4
2h = -4

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

Simplifying
h = -2