SOLUTION: Please show me the steps on how to do this.thanks.The product of a number and -4 is 8 more than the sum of two and the product of -5 and the number. What is the number?

Question 1082973: Please show me the steps on how to do this.thanks.The product of a number and -4 is 8 more than the sum of two and the product of -5 and the number. What is the number?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
The product of a number and -4 is 8 more than the sum of two and the product of -5 and the number. What is the number?

let x equal the number.

product of a number and -4 becomes -4x

the sum of 2 and theproduct of -5 and the number becomes (2 - 5x)

8 more than the sum of 2 and the product of -5 and the number becomes 8 + (2 - 5x)

simplify this to get 8 + 2 - 5x

simplify further to get 10 - 5x

your equation becomes -4x = 10 - 5x

add 5x to both sides of this equation to get x = 10

that's your solution.

-4x = -40

8 + (2 - 5x) becomes 8 + (2 - 50) becomes 8 = 48 becomes -40

you wind up with -40 = -40, confirming the solution is correct.

RELATED QUESTIONS
My book didn't show me how to do this but it asks questions like this anyway. The... (answered by rothauserc)

I have some problems I got wrong on my test. Please explain step by step what I should... (answered by stanbon,chitra)

can you please explain to me how to do this and can you supply the answer so i can see... (answered by ankor@dixie-net.com)

Please show me the steps on how to do this problem. I forgot how to do it. There are two (answered by Theo,MathTherapy)

There are two numbers with the following properties. 1) the second number is 3 more than (answered by oberobic)

a certain number is 6 less than another number. The sum of double the greater number and... (answered by checkley77)

Four added to the product of 3 and -11 is what number? Please show me the steps to... (answered by stanbon,Alan3354)

The sum of two numbers is 39. One number is 7 more than the other. Find the two numbers.... (answered by pie90010)

What number results if 11 is subtracted from the product of -6 and 5? Please show me... (answered by Ro0oR)