6.2(2g-3)=4.2(2g+3)

Solution for 6.2(2g-3)=4.2(2g+3) equation:

Simplifying
6.2(2g + -3) = 4.2(2g + 3)

Reorder the terms:
6.2(-3 + 2g) = 4.2(2g + 3)
(-3 * 6.2 + 2g * 6.2) = 4.2(2g + 3)
(-18.6 + 12.4g) = 4.2(2g + 3)

Reorder the terms:
-18.6 + 12.4g = 4.2(3 + 2g)
-18.6 + 12.4g = (3 * 4.2 + 2g * 4.2)
-18.6 + 12.4g = (12.6 + 8.4g)

Solving
-18.6 + 12.4g = 12.6 + 8.4g

Solving for variable 'g'.

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

Add '-8.4g' to each side of the equation.
-18.6 + 12.4g + -8.4g = 12.6 + 8.4g + -8.4g

Combine like terms: 12.4g + -8.4g = 4g
-18.6 + 4g = 12.6 + 8.4g + -8.4g

Combine like terms: 8.4g + -8.4g = 0.0
-18.6 + 4g = 12.6 + 0.0
-18.6 + 4g = 12.6

Add '18.6' to each side of the equation.
-18.6 + 18.6 + 4g = 12.6 + 18.6

Combine like terms: -18.6 + 18.6 = 0.0
0.0 + 4g = 12.6 + 18.6
4g = 12.6 + 18.6

Combine like terms: 12.6 + 18.6 = 31.2
4g = 31.2

Divide each side by '4'.
g = 7.8

Simplifying
g = 7.8