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

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

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

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

Reorder the terms:
-6 + 4g = 3(-3 + 4g)
-6 + 4g = (-3 * 3 + 4g * 3)
-6 + 4g = (-9 + 12g)

Solving
-6 + 4g = -9 + 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 + 4g + -12g = -9 + 12g + -12g

Combine like terms: 4g + -12g = -8g
-6 + -8g = -9 + 12g + -12g

Combine like terms: 12g + -12g = 0
-6 + -8g = -9 + 0
-6 + -8g = -9

Add '6' to each side of the equation.
-6 + 6 + -8g = -9 + 6

Combine like terms: -6 + 6 = 0
0 + -8g = -9 + 6
-8g = -9 + 6

Combine like terms: -9 + 6 = -3
-8g = -3

Divide each side by '-8'.
g = 0.375

Simplifying
g = 0.375