5(2g-4)-3(-2-2g)=34

Solution for 5(2g-4)-3(-2-2g)=34 equation:

Simplifying
5(2g + -4) + -3(-2 + -2g) = 34

Reorder the terms:
5(-4 + 2g) + -3(-2 + -2g) = 34
(-4 * 5 + 2g * 5) + -3(-2 + -2g) = 34
(-20 + 10g) + -3(-2 + -2g) = 34
-20 + 10g + (-2 * -3 + -2g * -3) = 34
-20 + 10g + (6 + 6g) = 34

Reorder the terms:
-20 + 6 + 10g + 6g = 34

Combine like terms: -20 + 6 = -14
-14 + 10g + 6g = 34

Combine like terms: 10g + 6g = 16g
-14 + 16g = 34

Solving
-14 + 16g = 34

Solving for variable 'g'.

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

Add '14' to each side of the equation.
-14 + 14 + 16g = 34 + 14

Combine like terms: -14 + 14 = 0
0 + 16g = 34 + 14
16g = 34 + 14

Combine like terms: 34 + 14 = 48
16g = 48

Divide each side by '16'.
g = 3

Simplifying
g = 3