the sum of twice the number and 60 is 8 times the number find the number

Answer 1

Let the number be x

2x + 60..... The sum of twice the number and 60

is 8x..... 8 times the number.

we set these two terms equal to eachother

2x+60 = 8x

Now collect like terms, that is 2x and 8x.

To do this, subtract 2x from both sides

2x-2x +60 = 8x-2x

60 = 6x

To solve for x, divide both sides by 6

10 = x

so the answer is x = 10