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25 votes
solve the equation 6x-4 divided by 8 = 7 explain and provide the definition or property that justifies each step of the solution process

User Nitimalh
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1 Answer

21 votes
21 votes

Hi! I'm happy to help!

We need to solve for x in this equation, we do this by isolating it on one side of the equation, and see what is on the other side (what it equals).

When we are isolating x, we are undoing the complication in the equation, so we are going to go backwards in the order of operations.

So, we will first write out our equation:

(6x-4)÷8=7,

Now, we need to get rid of that ÷8, we do this by multiplying both sides by 8:

(6x-4)÷8=7

×8 ×8

6x-4=56

Now, we have to add 4 to both sides to get rid of that "-4".

6x-4=56

+4 +4

6x=60

Now, to find what x is, we have to divide both sides by 6 (isolating x).

6x=60

÷6 ÷6

x=10

I hope this was helpful, keep learning! :D

User Teario
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