Question

Solve the following equation. Then place the correct answer in the box provided. Answer in terms of a mixed number. 7(2x + 6) = 1

Answer 1

Hey there! :D

7(2x+6)=1

Use the distributive property. Multiply each number by each other.

7*2x= 14x  7*6= 42

14x+42=1

Subtract 42 on both sides. 

14x= -41

Divide both sides by 14. 

We know that 14 goes into -41 almost three times.

14*3= 42 (there is one left over)

-2 13/14 (we just need one more part of 14) 

That is the simplified number.

I hope this helps!
~kaikers

Answer 2

First, expand the brackets.
7×2x=14x
7×6=42
14x+42=1

Next, subtract 42 from both sides.
14x=1-42
14x=-41

Then, divide both sides by 14.
x=-41/14

Finally, convert the improper fraction into a mixed number.
-41/14 = -13 + 2×14/14 = -2 13/14

Answer: -2 13/14