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

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

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

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

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

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

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

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

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

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

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

Solving
3 + 3h = 8 + 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 + 3h + -2h = 8 + 2h + -2h

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

Combine like terms: 2h + -2h = 0
3 + 1h = 8 + 0
3 + 1h = 8

Add '-3' to each side of the equation.
3 + -3 + 1h = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 1h = 8 + -3
1h = 8 + -3

Combine like terms: 8 + -3 = 5
1h = 5

Divide each side by '1'.
h = 5

Simplifying
h = 5