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

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

Simplifying
2(g + 3) = 4(g + 5)

Reorder the terms:
2(3 + g) = 4(g + 5)
(3 * 2 + g * 2) = 4(g + 5)
(6 + 2g) = 4(g + 5)

Reorder the terms:
6 + 2g = 4(5 + g)
6 + 2g = (5 * 4 + g * 4)
6 + 2g = (20 + 4g)

Solving
6 + 2g = 20 + 4g

Solving for variable 'g'.

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

Add '-4g' to each side of the equation.
6 + 2g + -4g = 20 + 4g + -4g

Combine like terms: 2g + -4g = -2g
6 + -2g = 20 + 4g + -4g

Combine like terms: 4g + -4g = 0
6 + -2g = 20 + 0
6 + -2g = 20

Add '-6' to each side of the equation.
6 + -6 + -2g = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -2g = 20 + -6
-2g = 20 + -6

Combine like terms: 20 + -6 = 14
-2g = 14

Divide each side by '-2'.
g = -7

Simplifying
g = -7