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2 votes
Emily is solving the equation 2(x+9)=4(x+7)+2

2 Answers

1 vote

Answer:

X= -6

Explanation:

1. First you must distribute. So 2 times x and 2 times 9 and on the other side, 4 times x and 4 times 7.

2. That will leave you with 2x+18=4x+28+2. Now you want to combine like terms and leave a constant (in this case 28) on the right side. That would be 2x minus 4x so that the 4x can cancle out on the right side.

3. That will leave you with -2x+18=30. Now you need to do the opposite of +18 which would be -18 so they cancel out on the left side and do it to the other side (right).

4. That will leave you with -2x=12. Now you need to get x by itself and it cannot be negative. So you would do -2x divided by -2 and 12 divided by -2.

5. Finally, that will leave you with x= -6.

And that is how to get -6 as x. If you don't believe these answers, check them yourself. Replace x with -6 and see if, in the end, the two numbers on each side of the equal sign are equal. Hope this helps! Good luck!

User Alexander Cska
by
4.6k points
3 votes

Answer:

x=-6

Explanation:

2(x+9)=4(x+7)+2

Distribute

2x+18 = 4x+28+2

Combine like terms

2x+18 = 4x+30

Subtract 2x from each side

2x-2x+18 = 4x-2x+30

18 = 2x+30

Subtract 30 from each side

18-30 =2x+30-30

-12 = 2x

Divide each side by 2

-12/2 =2x/2

-6 =x

User Sjaak
by
4.8k points
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