5[h+2]=[h-1]

Solution for 5[h+2]=[h-1] equation:

Simplifying
5[h + 2] = [h + -1]

Reorder the terms:
5[2 + h] = [h + -1]
[2 * 5 + h * 5] = [h + -1]
[10 + 5h] = [h + -1]

Reorder the terms:
10 + 5h = [-1 + h]

Remove brackets around [-1 + h]
10 + 5h = -1 + h

Solving
10 + 5h = -1 + h

Solving for variable 'h'.

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

Add '-1h' to each side of the equation.
10 + 5h + -1h = -1 + h + -1h

Combine like terms: 5h + -1h = 4h
10 + 4h = -1 + h + -1h

Combine like terms: h + -1h = 0
10 + 4h = -1 + 0
10 + 4h = -1

Add '-10' to each side of the equation.
10 + -10 + 4h = -1 + -10

Combine like terms: 10 + -10 = 0
0 + 4h = -1 + -10
4h = -1 + -10

Combine like terms: -1 + -10 = -11
4h = -11

Divide each side by '4'.
h = -2.75

Simplifying
h = -2.75