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

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


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

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

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

Combine like terms: h + -2h = -1h
-4 + -1h = 5(h + -1 + 3)

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

Combine like terms: -1 + 3 = 2
-4 + -1h = 5(2 + h)
-4 + -1h = (2 * 5 + h * 5)
-4 + -1h = (10 + 5h)

Solving
-4 + -1h = 10 + 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.
-4 + -1h + -5h = 10 + 5h + -5h

Combine like terms: -1h + -5h = -6h
-4 + -6h = 10 + 5h + -5h

Combine like terms: 5h + -5h = 0
-4 + -6h = 10 + 0
-4 + -6h = 10

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

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

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

Divide each side by '-6'.
h = -2.333333333

Simplifying
h = -2.333333333

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