3(g-2)-12=2(g-3)-5

Solution for 3(g-2)-12=2(g-3)-5 equation:

Simplifying
3(g + -2) + -12 = 2(g + -3) + -5

Reorder the terms:
3(-2 + g) + -12 = 2(g + -3) + -5
(-2 * 3 + g * 3) + -12 = 2(g + -3) + -5
(-6 + 3g) + -12 = 2(g + -3) + -5

Reorder the terms:
-6 + -12 + 3g = 2(g + -3) + -5

Combine like terms: -6 + -12 = -18
-18 + 3g = 2(g + -3) + -5

Reorder the terms:
-18 + 3g = 2(-3 + g) + -5
-18 + 3g = (-3 * 2 + g * 2) + -5
-18 + 3g = (-6 + 2g) + -5

Reorder the terms:
-18 + 3g = -6 + -5 + 2g

Combine like terms: -6 + -5 = -11
-18 + 3g = -11 + 2g

Solving
-18 + 3g = -11 + 2g

Solving for variable 'g'.

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

Add '-2g' to each side of the equation.
-18 + 3g + -2g = -11 + 2g + -2g

Combine like terms: 3g + -2g = 1g
-18 + 1g = -11 + 2g + -2g

Combine like terms: 2g + -2g = 0
-18 + 1g = -11 + 0
-18 + 1g = -11

Add '18' to each side of the equation.
-18 + 18 + 1g = -11 + 18

Combine like terms: -18 + 18 = 0
0 + 1g = -11 + 18
1g = -11 + 18

Combine like terms: -11 + 18 = 7
1g = 7

Divide each side by '1'.
g = 7

Simplifying
g = 7