2(3g+4)=5(g+3)

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Solution for 2(3g+4)=5(g+3) equation:


Simplifying
2(3g + 4) = 5(g + 3)

Reorder the terms:
2(4 + 3g) = 5(g + 3)
(4 * 2 + 3g * 2) = 5(g + 3)
(8 + 6g) = 5(g + 3)

Reorder the terms:
8 + 6g = 5(3 + g)
8 + 6g = (3 * 5 + g * 5)
8 + 6g = (15 + 5g)

Solving
8 + 6g = 15 + 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.
8 + 6g + -5g = 15 + 5g + -5g

Combine like terms: 6g + -5g = 1g
8 + 1g = 15 + 5g + -5g

Combine like terms: 5g + -5g = 0
8 + 1g = 15 + 0
8 + 1g = 15

Add '-8' to each side of the equation.
8 + -8 + 1g = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 1g = 15 + -8
1g = 15 + -8

Combine like terms: 15 + -8 = 7
1g = 7

Divide each side by '1'.
g = 7

Simplifying
g = 7

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