-2(h-7)=3(2h+14)

Solution for -2(h-7)=3(2h+14) equation:

Simplifying
-2(h + -7) = 3(2h + 14)

Reorder the terms:
-2(-7 + h) = 3(2h + 14)
(-7 * -2 + h * -2) = 3(2h + 14)
(14 + -2h) = 3(2h + 14)

Reorder the terms:
14 + -2h = 3(14 + 2h)
14 + -2h = (14 * 3 + 2h * 3)
14 + -2h = (42 + 6h)

Solving
14 + -2h = 42 + 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.
14 + -2h + -6h = 42 + 6h + -6h

Combine like terms: -2h + -6h = -8h
14 + -8h = 42 + 6h + -6h

Combine like terms: 6h + -6h = 0
14 + -8h = 42 + 0
14 + -8h = 42

Add '-14' to each side of the equation.
14 + -14 + -8h = 42 + -14

Combine like terms: 14 + -14 = 0
0 + -8h = 42 + -14
-8h = 42 + -14

Combine like terms: 42 + -14 = 28
-8h = 28

Divide each side by '-8'.
h = -3.5

Simplifying
h = -3.5