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

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

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

Reorder the terms:
2(3 + 4g) = 4(3g + -5)
(3 * 2 + 4g * 2) = 4(3g + -5)
(6 + 8g) = 4(3g + -5)

Reorder the terms:
6 + 8g = 4(-5 + 3g)
6 + 8g = (-5 * 4 + 3g * 4)
6 + 8g = (-20 + 12g)

Solving
6 + 8g = -20 + 12g

Solving for variable 'g'.

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

Add '-12g' to each side of the equation.
6 + 8g + -12g = -20 + 12g + -12g

Combine like terms: 8g + -12g = -4g
6 + -4g = -20 + 12g + -12g

Combine like terms: 12g + -12g = 0
6 + -4g = -20 + 0
6 + -4g = -20

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

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

Combine like terms: -20 + -6 = -26
-4g = -26

Divide each side by '-4'.
g = 6.5

Simplifying
g = 6.5