3(h-7)+4h=5h-(h-3)

Solution for 3(h-7)+4h=5h-(h-3) equation:

Simplifying
3(h + -7) + 4h = 5h + -1(h + -3)

Reorder the terms:
3(-7 + h) + 4h = 5h + -1(h + -3)
(-7 * 3 + h * 3) + 4h = 5h + -1(h + -3)
(-21 + 3h) + 4h = 5h + -1(h + -3)

Combine like terms: 3h + 4h = 7h
-21 + 7h = 5h + -1(h + -3)

Reorder the terms:
-21 + 7h = 5h + -1(-3 + h)
-21 + 7h = 5h + (-3 * -1 + h * -1)
-21 + 7h = 5h + (3 + -1h)

Reorder the terms:
-21 + 7h = 3 + 5h + -1h

Combine like terms: 5h + -1h = 4h
-21 + 7h = 3 + 4h

Solving
-21 + 7h = 3 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
-21 + 7h + -4h = 3 + 4h + -4h

Combine like terms: 7h + -4h = 3h
-21 + 3h = 3 + 4h + -4h

Combine like terms: 4h + -4h = 0
-21 + 3h = 3 + 0
-21 + 3h = 3

Add '21' to each side of the equation.
-21 + 21 + 3h = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 3h = 3 + 21
3h = 3 + 21

Combine like terms: 3 + 21 = 24
3h = 24

Divide each side by '3'.
h = 8

Simplifying
h = 8