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

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

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

Reorder the terms:
2(5 + h) + -5(1 + -2h) = 7 + -4(3 + -1h)
(5 * 2 + h * 2) + -5(1 + -2h) = 7 + -4(3 + -1h)
(10 + 2h) + -5(1 + -2h) = 7 + -4(3 + -1h)
10 + 2h + (1 * -5 + -2h * -5) = 7 + -4(3 + -1h)
10 + 2h + (-5 + 10h) = 7 + -4(3 + -1h)

Reorder the terms:
10 + -5 + 2h + 10h = 7 + -4(3 + -1h)

Combine like terms: 10 + -5 = 5
5 + 2h + 10h = 7 + -4(3 + -1h)

Combine like terms: 2h + 10h = 12h
5 + 12h = 7 + -4(3 + -1h)
5 + 12h = 7 + (3 * -4 + -1h * -4)
5 + 12h = 7 + (-12 + 4h)

Combine like terms: 7 + -12 = -5
5 + 12h = -5 + 4h

Solving
5 + 12h = -5 + 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.
5 + 12h + -4h = -5 + 4h + -4h

Combine like terms: 12h + -4h = 8h
5 + 8h = -5 + 4h + -4h

Combine like terms: 4h + -4h = 0
5 + 8h = -5 + 0
5 + 8h = -5

Add '-5' to each side of the equation.
5 + -5 + 8h = -5 + -5

Combine like terms: 5 + -5 = 0
0 + 8h = -5 + -5
8h = -5 + -5

Combine like terms: -5 + -5 = -10
8h = -10

Divide each side by '8'.
h = -1.25

Simplifying
h = -1.25