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

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

Simplifying
2(1 + -1g) = 3(2 + -1g)
(1 * 2 + -1g * 2) = 3(2 + -1g)
(2 + -2g) = 3(2 + -1g)
2 + -2g = (2 * 3 + -1g * 3)
2 + -2g = (6 + -3g)

Solving
2 + -2g = 6 + -3g

Solving for variable 'g'.

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

Add '3g' to each side of the equation.
2 + -2g + 3g = 6 + -3g + 3g

Combine like terms: -2g + 3g = 1g
2 + 1g = 6 + -3g + 3g

Combine like terms: -3g + 3g = 0
2 + 1g = 6 + 0
2 + 1g = 6

Add '-2' to each side of the equation.
2 + -2 + 1g = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1g = 6 + -2
1g = 6 + -2

Combine like terms: 6 + -2 = 4
1g = 4

Divide each side by '1'.
g = 4

Simplifying
g = 4