Question

A fourth of a number added to -45 is -11 how do you solve for x

Answer 1

`x=136`

Explanation:

Given statement:

A fourth of a number added to -45 is -11

To find the number.

Solution:

Let the number be =
`x`

The given statement can be transformed mathematically as:

`(1)/(4)x+(-45)=-11`

Solving for
`x`.

Simplifying by removing parenthesis.

`(1)/(4)x-45=-11`

Multiplying each term by 4 to remove fractions.

`4.(1)/(4)x-(4* 45)=4* (-11)`

`x-180=-44`

Adding 180 both sides.

`x-180+180=-44+180`

∴
`x=136`

Thus, the number = 136