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

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


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

Reorder the terms:
5(3 + g) + 2 = 3(g + 1)
(3 * 5 + g * 5) + 2 = 3(g + 1)
(15 + 5g) + 2 = 3(g + 1)

Reorder the terms:
15 + 2 + 5g = 3(g + 1)

Combine like terms: 15 + 2 = 17
17 + 5g = 3(g + 1)

Reorder the terms:
17 + 5g = 3(1 + g)
17 + 5g = (1 * 3 + g * 3)
17 + 5g = (3 + 3g)

Solving
17 + 5g = 3 + 3g

Solving for variable 'g'.

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

Add '-3g' to each side of the equation.
17 + 5g + -3g = 3 + 3g + -3g

Combine like terms: 5g + -3g = 2g
17 + 2g = 3 + 3g + -3g

Combine like terms: 3g + -3g = 0
17 + 2g = 3 + 0
17 + 2g = 3

Add '-17' to each side of the equation.
17 + -17 + 2g = 3 + -17

Combine like terms: 17 + -17 = 0
0 + 2g = 3 + -17
2g = 3 + -17

Combine like terms: 3 + -17 = -14
2g = -14

Divide each side by '2'.
g = -7

Simplifying
g = -7

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