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

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

Simplifying
5g + (2 + 4h + -2g) + -1(4g + 2h + 3) = 0

Reorder the terms:
5g + (2 + -2g + 4h) + -1(4g + 2h + 3) = 0

Remove parenthesis around (2 + -2g + 4h)
5g + 2 + -2g + 4h + -1(4g + 2h + 3) = 0

Reorder the terms:
5g + 2 + -2g + 4h + -1(3 + 4g + 2h) = 0
5g + 2 + -2g + 4h + (3 * -1 + 4g * -1 + 2h * -1) = 0
5g + 2 + -2g + 4h + (-3 + -4g + -2h) = 0

Reorder the terms:
2 + -3 + 5g + -2g + -4g + 4h + -2h = 0

Combine like terms: 2 + -3 = -1
-1 + 5g + -2g + -4g + 4h + -2h = 0

Combine like terms: 5g + -2g = 3g
-1 + 3g + -4g + 4h + -2h = 0

Combine like terms: 3g + -4g = -1g
-1 + -1g + 4h + -2h = 0

Combine like terms: 4h + -2h = 2h
-1 + -1g + 2h = 0

Solving
-1 + -1g + 2h = 0

Solving for variable 'g'.

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

Add '1' to each side of the equation.
-1 + -1g + 1 + 2h = 0 + 1

Reorder the terms:
-1 + 1 + -1g + 2h = 0 + 1

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

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

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

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

Divide each side by '-1'.
g = -1 + 2h

Simplifying
g = -1 + 2h