[3h+1]=7h

Solution for [3h+1]=7h equation:

Simplifying
[3h + 1] = 7h

Reorder the terms:
[1 + 3h] = 7h

Remove brackets around [1 + 3h]
1 + 3h = 7h

Solving
1 + 3h = 7h

Solving for variable 'h'.

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

Add '-7h' to each side of the equation.
1 + 3h + -7h = 7h + -7h

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

Combine like terms: 7h + -7h = 0
1 + -4h = 0

Add '-1' to each side of the equation.
1 + -1 + -4h = 0 + -1

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

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

Divide each side by '-4'.
h = 0.25

Simplifying
h = 0.25