Question

How do you solve `-14- 4x = 14- 3x`?

Answer 1

`x=-28`

Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

add 3x to both sides.

`-14-4x+3x=14cancel(-3x)cancel(+3x)`

`rArr-14-x=14`

add 14 to both sides.

`cancel(-14)cancel(+14)-x=14+14`

`rArr-x=28`

multiply both sides by - 1

`(-1xx-x)=(-1xx28)`

`rArrx=-28`

`color(blue)"As a check"`

Substitute this value into the equation and if the left side equals the right side then it is the solution.

`"left side "=-14-(4xx-28)=-14+112=98`

`"right side "=14-(3xx-28)=14+84=98`

`rArrx=-28" is the solution"`

Answer 2

`x=-28`

Explanation:

`-14-4x=14-3x`

`:.-4x=14-3x+14`

multiply L.H.S. and R.H.S. by -1

`:.4x=-14+3x-14`

`:.4x-3x=-14-14`

`:.x=-28`