g+(2h-g)+h+(h+2)+(g+3)=x

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Solution for g+(2h-g)+h+(h+2)+(g+3)=x equation:


Simplifying
g + (2h + -1g) + h + (h + 2) + (g + 3) = x

Reorder the terms:
g + (-1g + 2h) + h + (h + 2) + (g + 3) = x

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

Reorder the terms:
g + -1g + 2h + h + (2 + h) + (g + 3) = x

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

Reorder the terms:
g + -1g + 2h + h + 2 + h + (3 + g) = x

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

Reorder the terms:
2 + 3 + g + -1g + g + 2h + h + h = x

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

Combine like terms: g + -1g = 0
5 + 0 + g + 2h + h + h = x
5 + g + 2h + h + h = x

Combine like terms: 2h + h = 3h
5 + g + 3h + h = x

Combine like terms: 3h + h = 4h
5 + g + 4h = x

Solving
5 + g + 4h = x

Solving for variable 'g'.

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

Add '-5' to each side of the equation.
5 + g + -5 + 4h = -5 + x

Reorder the terms:
5 + -5 + g + 4h = -5 + x

Combine like terms: 5 + -5 = 0
0 + g + 4h = -5 + x
g + 4h = -5 + x

Add '-4h' to each side of the equation.
g + 4h + -4h = -5 + -4h + x

Combine like terms: 4h + -4h = 0
g + 0 = -5 + -4h + x
g = -5 + -4h + x

Simplifying
g = -5 + -4h + x

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