Zabato is thinking of a number. three times the sum of the number and ten is the same as eight times the number. what is zabato’s number?

The Zabato's number is 2.

Step-by-step explanation:

Let the number = x

Given that:

Three times the sum of the number and ten is the same as eight times the number.

According to the given condition:

3x + 10 = 8x

Simplifying by transferring terms with x on left side and others on right side

3x - 8x = -10                (Sign of transferred terms is changed)

-5x = -10

Dividing both sides by -5

-5x/-5  = -10/-5

x = 2

So the Zabato's number is 2.

Proof:

3x + 10 = 8x

Putting value of x

3(2) + 10 = 8 (2)

6 +10 = 16

16 = 16

Hence proved.

I hope it will help you.