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

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

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

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

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

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

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

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

Solving
2g = 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.
2g + -3g = 3g + -3g

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

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

Divide each side by '-1'.
g = 0

Simplifying
g = 0