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

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

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

Reorder the terms:
4(1 + 2h) + -2(h + 5) = 2(h + -5) + -4
(1 * 4 + 2h * 4) + -2(h + 5) = 2(h + -5) + -4
(4 + 8h) + -2(h + 5) = 2(h + -5) + -4

Reorder the terms:
4 + 8h + -2(5 + h) = 2(h + -5) + -4
4 + 8h + (5 * -2 + h * -2) = 2(h + -5) + -4
4 + 8h + (-10 + -2h) = 2(h + -5) + -4

Reorder the terms:
4 + -10 + 8h + -2h = 2(h + -5) + -4

Combine like terms: 4 + -10 = -6
-6 + 8h + -2h = 2(h + -5) + -4

Combine like terms: 8h + -2h = 6h
-6 + 6h = 2(h + -5) + -4

Reorder the terms:
-6 + 6h = 2(-5 + h) + -4
-6 + 6h = (-5 * 2 + h * 2) + -4
-6 + 6h = (-10 + 2h) + -4

Reorder the terms:
-6 + 6h = -10 + -4 + 2h

Combine like terms: -10 + -4 = -14
-6 + 6h = -14 + 2h

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

Combine like terms: 6h + -2h = 4h
-6 + 4h = -14 + 2h + -2h

Combine like terms: 2h + -2h = 0
-6 + 4h = -14 + 0
-6 + 4h = -14

Add '6' to each side of the equation.
-6 + 6 + 4h = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 4h = -14 + 6
4h = -14 + 6

Combine like terms: -14 + 6 = -8
4h = -8

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

Simplifying
h = -2