Six less than three times a number is two more than four times the number.find the number

3x - 6 = 4x + 2

x = -8

Four times a number is 21 more than three number. What is the number?

four more than a number is three times equal 27

To find the number, let's start by setting up an equation based on the given information.

Let's assume the number is represented by "x."

We are told that "Six less than three times a number is two more than four times the number." Translating this into an equation, we get:

3x - 6 = 4x + 2

Now, let's solve this equation to find the value of x:

First, we can simplify the equation by combining like terms:

3x - 4x = 2 + 6

-1x = 8

To isolate x, we want to get rid of the coefficient -1, so we can multiply both sides by -1:

(-1)(-1x) = (-1)(8)

x = -8

Therefore, the number is -8.