4(2h+1)-2(h+4)=2(h-4)-4

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

Simplifying
4(2h + 1) + -2(h + 4) = 2(h + -4) + -4

Reorder the terms:
4(1 + 2h) + -2(h + 4) = 2(h + -4) + -4
(1 * 4 + 2h * 4) + -2(h + 4) = 2(h + -4) + -4
(4 + 8h) + -2(h + 4) = 2(h + -4) + -4

Reorder the terms:
4 + 8h + -2(4 + h) = 2(h + -4) + -4
4 + 8h + (4 * -2 + h * -2) = 2(h + -4) + -4
4 + 8h + (-8 + -2h) = 2(h + -4) + -4

Reorder the terms:
4 + -8 + 8h + -2h = 2(h + -4) + -4

Combine like terms: 4 + -8 = -4
-4 + 8h + -2h = 2(h + -4) + -4

Combine like terms: 8h + -2h = 6h
-4 + 6h = 2(h + -4) + -4

Reorder the terms:
-4 + 6h = 2(-4 + h) + -4
-4 + 6h = (-4 * 2 + h * 2) + -4
-4 + 6h = (-8 + 2h) + -4

Reorder the terms:
-4 + 6h = -8 + -4 + 2h

Combine like terms: -8 + -4 = -12
-4 + 6h = -12 + 2h

Solving
-4 + 6h = -12 + 2h

Solving for variable 'h'.

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

Add '-2h' to each side of the equation.
-4 + 6h + -2h = -12 + 2h + -2h

Combine like terms: 6h + -2h = 4h
-4 + 4h = -12 + 2h + -2h

Combine like terms: 2h + -2h = 0
-4 + 4h = -12 + 0
-4 + 4h = -12

Add '4' to each side of the equation.
-4 + 4 + 4h = -12 + 4

Combine like terms: -4 + 4 = 0
0 + 4h = -12 + 4
4h = -12 + 4

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

Divide each side by '4'.
h = -2

Simplifying
h = -2