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

Solution for 7(g+10)+3(2g-1)=5 equation:

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

Reorder the terms:
7(10 + g) + 3(2g + -1) = 5
(10 * 7 + g * 7) + 3(2g + -1) = 5
(70 + 7g) + 3(2g + -1) = 5

Reorder the terms:
70 + 7g + 3(-1 + 2g) = 5
70 + 7g + (-1 * 3 + 2g * 3) = 5
70 + 7g + (-3 + 6g) = 5

Reorder the terms:
70 + -3 + 7g + 6g = 5

Combine like terms: 70 + -3 = 67
67 + 7g + 6g = 5

Combine like terms: 7g + 6g = 13g
67 + 13g = 5

Solving
67 + 13g = 5

Solving for variable 'g'.

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

Add '-67' to each side of the equation.
67 + -67 + 13g = 5 + -67

Combine like terms: 67 + -67 = 0
0 + 13g = 5 + -67
13g = 5 + -67

Combine like terms: 5 + -67 = -62
13g = -62

Divide each side by '13'.
g = -4.769230769

Simplifying
g = -4.769230769