Question

68 times the difference between a number and 45 is equal to the number plus −98

Answer 1

The number can be expressed in multiple forms

Fraction form
`x=(2962)/(67)` or decimal form
`x=44.21`

Explanation:

Lets break the problem down

"times" is multiplication *

The difference between 2 numbers is subtraction
`(x-y)`

A number plus a number is addition
`x+y`

`68(x-45)=x+-98`

Lets solve for
`x`.

Lets start on the left side.

Distribute 68 to the terms inside the parenthesis.

`68x-3060=x+-98`

A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.

`68x-3060=x-98`

Subtract
`x` from both sides of the equation.

`68x-3060-x=-98`

Subtract
`x` from
`68x`.

`67x-3060=-98`

Add 3060 to both sides of the equation.

`67x=2962`

Divide both sides of the equation by 67.

`x=(2962)/(67)` or as a decimal
`x=44.21`