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

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

Simplify 7(g-2).

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Apply the distributive property.

7g+7⋅-2=5(g+4)

Multiply 7 by -2.

7g-14=5(g+4)

Simplify 5(g+4).

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Apply the distributive property.

7g-14=5g+5⋅4

Multiply 5 by 4.

7g-14=5g+20

Move all terms containing g to the left side of the equation.

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Subtract 5g from both sides of the equation.

7g-14-5g=20

Subtract 5g from 7g.

2g-14=20

Move all terms not containing g to the right side of the equation.

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Add 14 to both sides of the equation.

2g=20+14

Add 20 and 14.

2g=34

Divide each term by 2 and simplify.

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Divide each term in 2g=34 by 2.

2g2=342

Cancel the common factor of 2.

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Cancel the common factor.

2g2=342

Divide g by 1.

g=342

Divide 34 by 2.

g=17

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