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

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


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

Remove parenthesis around (1 + -2h)
5 = 1 + -2h + -3(h + -3)

Reorder the terms:
5 = 1 + -2h + -3(-3 + h)
5 = 1 + -2h + (-3 * -3 + h * -3)
5 = 1 + -2h + (9 + -3h)

Reorder the terms:
5 = 1 + 9 + -2h + -3h

Combine like terms: 1 + 9 = 10
5 = 10 + -2h + -3h

Combine like terms: -2h + -3h = -5h
5 = 10 + -5h

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

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

Add '-5' to each side of the equation.
5 + -5 + 5h = 10 + -5

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

Combine like terms: 10 + -5 = 5
5h = 5

Divide each side by '5'.
h = 1

Simplifying
h = 1

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