Four times a number is three times the difference of that number and one

Let x represent the unknown number.

.

What is 4 times that number? It is 4 times x or 4x for short.

.

What is the difference between 35 and the number? It is 35 - x. And what is 3 times that

difference? It is 3(35 - x).

.

The problem says that 4 times the number (4x) is equal to 3 times the difference between

35 and the number ... 3(35 - x)

.

So set these two quantities equal:

.

4x = 3(35 - x)

.

On the right side do the distributed multiplication by multiplying 3 times each of the

terms inside the parentheses. When you do that multiplication the equation becomes:

.

4x = 105 - 3x

.

Get rid of the -3x on the right side by adding 3x to both sides. On the right side the

-3x and the 3x being added cancel each other out. On the left side the 4x plus 3x becomes

7x ... so the equation is then:

.

7x = 105

.

Solve for x by dividing both sides of this equation by 7 and you get:

.

x = 15

.

The number that you were asked to find is 15.

.

Check ... 4 time that number is 4 times 15 and that is 60. The difference between 35 and

the number is 35 - 15 and that is 20. And 3 times that number is 60. This tells you that

4 times the number does equal 3 times the difference between 35 and the number. So the answer

is correct. The unknown number does equal 15.

.

Hope this helps you

-2 is the right

49/6 is going to equal 8 1/6