8(g+2)+7g=5(g+6)+6

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Solution for 8(g+2)+7g=5(g+6)+6 equation: 


Simplifying
8(g + 2) + 7g = 5(g + 6) + 6

Reorder the terms:
8(2 + g) + 7g = 5(g + 6) + 6
(2 * 8 + g * 8) + 7g = 5(g + 6) + 6
(16 + 8g) + 7g = 5(g + 6) + 6

Combine like terms: 8g + 7g = 15g
16 + 15g = 5(g + 6) + 6

Reorder the terms:
16 + 15g = 5(6 + g) + 6
16 + 15g = (6 * 5 + g * 5) + 6
16 + 15g = (30 + 5g) + 6

Reorder the terms:
16 + 15g = 30 + 6 + 5g

Combine like terms: 30 + 6 = 36
16 + 15g = 36 + 5g

Solving
16 + 15g = 36 + 5g

Solving for variable 'g'.

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

Add '-5g' to each side of the equation.
16 + 15g + -5g = 36 + 5g + -5g

Combine like terms: 15g + -5g = 10g
16 + 10g = 36 + 5g + -5g

Combine like terms: 5g + -5g = 0
16 + 10g = 36 + 0
16 + 10g = 36

Add '-16' to each side of the equation.
16 + -16 + 10g = 36 + -16

Combine like terms: 16 + -16 = 0
0 + 10g = 36 + -16
10g = 36 + -16

Combine like terms: 36 + -16 = 20
10g = 20

Divide each side by '10'.
g = 2

Simplifying
g = 2

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