3g+6=2.25g-4.5

Solution for 3g+6=2.25g-4.5 equation:

Simplifying
3g + 6 = 2.25g + -4.5

Reorder the terms:
6 + 3g = 2.25g + -4.5

Reorder the terms:
6 + 3g = -4.5 + 2.25g

Solving
6 + 3g = -4.5 + 2.25g

Solving for variable 'g'.

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

Add '-2.25g' to each side of the equation.
6 + 3g + -2.25g = -4.5 + 2.25g + -2.25g

Combine like terms: 3g + -2.25g = 0.75g
6 + 0.75g = -4.5 + 2.25g + -2.25g

Combine like terms: 2.25g + -2.25g = 0.00
6 + 0.75g = -4.5 + 0.00
6 + 0.75g = -4.5

Add '-6' to each side of the equation.
6 + -6 + 0.75g = -4.5 + -6

Combine like terms: 6 + -6 = 0
0 + 0.75g = -4.5 + -6
0.75g = -4.5 + -6

Combine like terms: -4.5 + -6 = -10.5
0.75g = -10.5

Divide each side by '0.75'.
g = -14

Simplifying
g = -14