SOLUTION: given:5+5(x+6)=50 prove:5x+9=24 make a two column proof

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Question 507563: given:5+5(x+6)=50
prove:5x+9=24
make a two column proof
Answer by jim_thompson5910(35256) (Show Source):
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Statement Reason
1. 5+5(x+6)=50 Given

2. 5+5x+30=50 Distributive Property

3. 5x+35=50 Combining Like Terms

4. 5x+9+26=50 Breaking up 35 into 9+26

5. 5x+9+26+(-26)=50+(-26) Additive Property of Equality

6. 5x+9+(26+(-26))=50+(-26) Associative Property of Addition

7. 5x+9+0=24 Adding terms

8. 5x+9=24 Additive Identity Property