(5h+3)-2=(2h-30)+10

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Solution for (5h+3)-2=(2h-30)+10 equation:


Simplifying
(5h + 3) + -2 = (2h + -30) + 10

Reorder the terms:
(3 + 5h) + -2 = (2h + -30) + 10

Remove parenthesis around (3 + 5h)
3 + 5h + -2 = (2h + -30) + 10

Reorder the terms:
3 + -2 + 5h = (2h + -30) + 10

Combine like terms: 3 + -2 = 1
1 + 5h = (2h + -30) + 10

Reorder the terms:
1 + 5h = (-30 + 2h) + 10

Remove parenthesis around (-30 + 2h)
1 + 5h = -30 + 2h + 10

Reorder the terms:
1 + 5h = -30 + 10 + 2h

Combine like terms: -30 + 10 = -20
1 + 5h = -20 + 2h

Solving
1 + 5h = -20 + 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.
1 + 5h + -2h = -20 + 2h + -2h

Combine like terms: 5h + -2h = 3h
1 + 3h = -20 + 2h + -2h

Combine like terms: 2h + -2h = 0
1 + 3h = -20 + 0
1 + 3h = -20

Add '-1' to each side of the equation.
1 + -1 + 3h = -20 + -1

Combine like terms: 1 + -1 = 0
0 + 3h = -20 + -1
3h = -20 + -1

Combine like terms: -20 + -1 = -21
3h = -21

Divide each side by '3'.
h = -7

Simplifying
h = -7

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