8g-(g+13)=2(g+6)

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Solution for 8g-(g+13)=2(g+6) equation:


Simplifying
8g + -1(g + 13) = 2(g + 6)

Reorder the terms:
8g + -1(13 + g) = 2(g + 6)
8g + (13 * -1 + g * -1) = 2(g + 6)
8g + (-13 + -1g) = 2(g + 6)

Reorder the terms:
-13 + 8g + -1g = 2(g + 6)

Combine like terms: 8g + -1g = 7g
-13 + 7g = 2(g + 6)

Reorder the terms:
-13 + 7g = 2(6 + g)
-13 + 7g = (6 * 2 + g * 2)
-13 + 7g = (12 + 2g)

Solving
-13 + 7g = 12 + 2g

Solving for variable 'g'.

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

Add '-2g' to each side of the equation.
-13 + 7g + -2g = 12 + 2g + -2g

Combine like terms: 7g + -2g = 5g
-13 + 5g = 12 + 2g + -2g

Combine like terms: 2g + -2g = 0
-13 + 5g = 12 + 0
-13 + 5g = 12

Add '13' to each side of the equation.
-13 + 13 + 5g = 12 + 13

Combine like terms: -13 + 13 = 0
0 + 5g = 12 + 13
5g = 12 + 13

Combine like terms: 12 + 13 = 25
5g = 25

Divide each side by '5'.
g = 5

Simplifying
g = 5

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