3(3g+2)=5(2g-1)

Solution for 3(3g+2)=5(2g-1) equation:

Simplifying
3(3g + 2) = 5(2g + -1)

Reorder the terms:
3(2 + 3g) = 5(2g + -1)
(2 * 3 + 3g * 3) = 5(2g + -1)
(6 + 9g) = 5(2g + -1)

Reorder the terms:
6 + 9g = 5(-1 + 2g)
6 + 9g = (-1 * 5 + 2g * 5)
6 + 9g = (-5 + 10g)

Solving
6 + 9g = -5 + 10g

Solving for variable 'g'.

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

Add '-10g' to each side of the equation.
6 + 9g + -10g = -5 + 10g + -10g

Combine like terms: 9g + -10g = -1g
6 + -1g = -5 + 10g + -10g

Combine like terms: 10g + -10g = 0
6 + -1g = -5 + 0
6 + -1g = -5

Add '-6' to each side of the equation.
6 + -6 + -1g = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = -5 + -6
-1g = -5 + -6

Combine like terms: -5 + -6 = -11
-1g = -11

Divide each side by '-1'.
g = 11

Simplifying
g = 11