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# Drag a reason to each box to complete this proof.

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Drag a reason to each box to complete this proof.

If 5x − 4 +13x = 5 , then x = 1/2 .

Statement                                   Reason

5x − 4 + 13x = 5                              Given

18x − 4 = 5                               (                       )

18x = 9                                      (                        )

x = 1/2                                       (                        )

Options: Division property of Equality, Combine like terms., Substitution Property of Equality, Addition Property of Equality, Symmetric Property of Equality

AngelRay  Nov 12, 2017

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 $$18x-4=5$$ Combine like terms. In this step, the solver combined the $$5x$$ and $$13x$$ from the previous step. Like terms have to be both the same variable raised to the same power. This is indeed the case here. $$18x=9$$ Addition Property of Equality. This step added 4 to both sides, which is allowed based on the addition property. $$x=\frac{1}{2}$$ Division Property of Equality. This step divided 18 from both sides. This is a valid operation because of the division property of equality.
TheXSquaredFactor  Nov 12, 2017
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 $$18x-4=5$$ Combine like terms. In this step, the solver combined the $$5x$$ and $$13x$$ from the previous step. Like terms have to be both the same variable raised to the same power. This is indeed the case here. $$18x=9$$ Addition Property of Equality. This step added 4 to both sides, which is allowed based on the addition property. $$x=\frac{1}{2}$$ Division Property of Equality. This step divided 18 from both sides. This is a valid operation because of the division property of equality.