2(h+3)=-7h-(-13h+10)

Solution for 2(h+3)=-7h-(-13h+10) equation:

Simplifying
2(h + 3) = -7h + -1(-13h + 10)

Reorder the terms:
2(3 + h) = -7h + -1(-13h + 10)
(3 * 2 + h * 2) = -7h + -1(-13h + 10)
(6 + 2h) = -7h + -1(-13h + 10)

Reorder the terms:
6 + 2h = -7h + -1(10 + -13h)
6 + 2h = -7h + (10 * -1 + -13h * -1)
6 + 2h = -7h + (-10 + 13h)

Reorder the terms:
6 + 2h = -10 + -7h + 13h

Combine like terms: -7h + 13h = 6h
6 + 2h = -10 + 6h

Solving
6 + 2h = -10 + 6h

Solving for variable 'h'.

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

Add '-6h' to each side of the equation.
6 + 2h + -6h = -10 + 6h + -6h

Combine like terms: 2h + -6h = -4h
6 + -4h = -10 + 6h + -6h

Combine like terms: 6h + -6h = 0
6 + -4h = -10 + 0
6 + -4h = -10

Add '-6' to each side of the equation.
6 + -6 + -4h = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4h = -10 + -6
-4h = -10 + -6

Combine like terms: -10 + -6 = -16
-4h = -16

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

Simplifying
h = 4