4+(3h+2)=1-(5-7h)

Solution for 4+(3h+2)=1-(5-7h) equation:

Simplifying
4 + (3h + 2) = 1 + -1(5 + -7h)

Reorder the terms:
4 + (2 + 3h) = 1 + -1(5 + -7h)

Remove parenthesis around (2 + 3h)
4 + 2 + 3h = 1 + -1(5 + -7h)

Combine like terms: 4 + 2 = 6
6 + 3h = 1 + -1(5 + -7h)
6 + 3h = 1 + (5 * -1 + -7h * -1)
6 + 3h = 1 + (-5 + 7h)

Combine like terms: 1 + -5 = -4
6 + 3h = -4 + 7h

Solving
6 + 3h = -4 + 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.
6 + 3h + -7h = -4 + 7h + -7h

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

Combine like terms: 7h + -7h = 0
6 + -4h = -4 + 0
6 + -4h = -4

Add '-6' to each side of the equation.
6 + -6 + -4h = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -4h = -4 + -6
-4h = -4 + -6

Combine like terms: -4 + -6 = -10
-4h = -10

Divide each side by '-4'.
h = 2.5

Simplifying
h = 2.5