Mrs Wallace is thinking of a number. Six increased by six times the number is the same as twice the number decreased by ten. What is Mrs wallace's number?

Question

That's it 

Answer 1

Translate the sentence into mathematical terms and choose a variable for the number, then solve. In this case, let's use n:

 

6+6n=2n-10

 

We want to answer the original question, which means we are to isolate or solve for the variable.

 

Subtract 2n from both sides:

 

6+6n-2n=2n-2n-10

6+4n=-10

 

Subtract 6 from both sides:

 

6-6+4n=-10-6

4n=-16

 

Divide by 4 to solve for n:

 

4n/4=-16/4

n=-4.