2(g+3)+5(1-g)=10

Solution for 2(g+3)+5(1-g)=10 equation:

Simplifying
2(g + 3) + 5(1 + -1g) = 10

Reorder the terms:
2(3 + g) + 5(1 + -1g) = 10
(3 * 2 + g * 2) + 5(1 + -1g) = 10
(6 + 2g) + 5(1 + -1g) = 10
6 + 2g + (1 * 5 + -1g * 5) = 10
6 + 2g + (5 + -5g) = 10

Reorder the terms:
6 + 5 + 2g + -5g = 10

Combine like terms: 6 + 5 = 11
11 + 2g + -5g = 10

Combine like terms: 2g + -5g = -3g
11 + -3g = 10

Solving
11 + -3g = 10

Solving for variable 'g'.

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

Add '-11' to each side of the equation.
11 + -11 + -3g = 10 + -11

Combine like terms: 11 + -11 = 0
0 + -3g = 10 + -11
-3g = 10 + -11

Combine like terms: 10 + -11 = -1
-3g = -1

Divide each side by '-3'.
g = 0.3333333333

Simplifying
g = 0.3333333333