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

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


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

Reorder the terms:
h + -2(4 + h) = 5(h + -1) + 3
h + (4 * -2 + h * -2) = 5(h + -1) + 3
h + (-8 + -2h) = 5(h + -1) + 3

Reorder the terms:
-8 + h + -2h = 5(h + -1) + 3

Combine like terms: h + -2h = -1h
-8 + -1h = 5(h + -1) + 3

Reorder the terms:
-8 + -1h = 5(-1 + h) + 3
-8 + -1h = (-1 * 5 + h * 5) + 3
-8 + -1h = (-5 + 5h) + 3

Reorder the terms:
-8 + -1h = -5 + 3 + 5h

Combine like terms: -5 + 3 = -2
-8 + -1h = -2 + 5h

Solving
-8 + -1h = -2 + 5h

Solving for variable 'h'.

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

Add '-5h' to each side of the equation.
-8 + -1h + -5h = -2 + 5h + -5h

Combine like terms: -1h + -5h = -6h
-8 + -6h = -2 + 5h + -5h

Combine like terms: 5h + -5h = 0
-8 + -6h = -2 + 0
-8 + -6h = -2

Add '8' to each side of the equation.
-8 + 8 + -6h = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -6h = -2 + 8
-6h = -2 + 8

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

Divide each side by '-6'.
h = -1

Simplifying
h = -1

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