Question

How do you solve `1/4 (2x-14) =4`?

Answer 1

`(2x-14) = 4*4`

`=> 2x-14 = 16`

`2x=16+14`

`x=30/2 = 15`

Answer 2

`x=15`

Explanation:

`color(blue)(1/4(2x-14)=4`

Divide both sides by `1/4`

`rarrcancel(1/4)(2x-14)-:cancel(1/4)=4-:1/4`

`rarr(2x-14)=4-:1/4`

Remove brackets

`rarr2x-14=4-:1/4`

`rarr2x-14=4*4`

`rarr2x-14=16`

Add `16` both sides

`rarr2x=16+14`

`rarr2x=30`

Divide both sides by `2`

`rarr(cancel2x)/cancel2=30/2`

`rArrcolor(green)(x=15`