Question

How do you solve `4x-6=-2x-13`?

Answer 1

`x=-7/6`

Explanation:

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

add 2x to both sides.

`4x+2x-6=cancel(-2x)cancel(+2x)-13`

`rArr6x-6=-13`

add 6 to both sides.

`6xcancel(-6)cancel(+6)=-13+6`

`rArr6x=-7`

divide both sides by 6

`(cancel(6) x)/cancel(6)=(-7)/6`

`rArrx=-7/6`

`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 "=(4xx-7/6)-6=-14/3-18/3=-32/3`

`"right side "=(-2xx-7/6)-13=7/3-39/3=-32/3`

`rArrx=-7/6" is the solution"`