Question

How do you solve `4.4x = 26.4`?

Answer 1

`x=6`

Explanation:

Since `x` is being multiplied by `4.4`, we need to "undo" the multiplication in order to isolate `x`.

Multiplication is is undone by division, so divide both sides by `4.4`.

`(4.4x)/color(blue)4.4=26.4/color(blue)4.4`

`x=6`

Answer 2

If it is the decimals that are giving you a problem do this.

`x=6`

Explanation:

Given: `4.4x=26.4`

Lets get rod of the decimals. Multiply both sides by 10 giving:

`44x=264`

Divide both sides by 44

`44/44xx x= 264/44`

`x=264/44`
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An informed guess approach for the division using approximation.

Consider `260/40`

`4xx5=20 <26 ?`
`4xx6=24 < 26?`
`4xx7=28 > 26` so no good

Test:
`44xx6 = 264 larr" Spot on!"`

`x=(264-:44)/(44-:44)=6/1=6`