7(g-2)=5(g+4)

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Solution for 7(g-2)=5(g+4) equation:


Simplifying
7(g + -2) = 5(g + 4)

Reorder the terms:
7(-2 + g) = 5(g + 4)
(-2 * 7 + g * 7) = 5(g + 4)
(-14 + 7g) = 5(g + 4)

Reorder the terms:
-14 + 7g = 5(4 + g)
-14 + 7g = (4 * 5 + g * 5)
-14 + 7g = (20 + 5g)

Solving
-14 + 7g = 20 + 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.
-14 + 7g + -5g = 20 + 5g + -5g

Combine like terms: 7g + -5g = 2g
-14 + 2g = 20 + 5g + -5g

Combine like terms: 5g + -5g = 0
-14 + 2g = 20 + 0
-14 + 2g = 20

Add '14' to each side of the equation.
-14 + 14 + 2g = 20 + 14

Combine like terms: -14 + 14 = 0
0 + 2g = 20 + 14
2g = 20 + 14

Combine like terms: 20 + 14 = 34
2g = 34

Divide each side by '2'.
g = 17

Simplifying
g = 17

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