Question

How do you solve `4x-10=7-2x`?

Answer 1

`x=17/6`

Explanation:

Given: `4x-10=7-2x`

Adding `2x` to both sides, we get

`4x-10+2x=7-color(red)cancelcolor(black)(2x)+color(red)cancelcolor(black)(2x)`

`=>6x-10=7`

Adding `10` to both sides, we have

`=>6x-color(red)cancelcolor(black)10+color(red)cancelcolor(black)10=7+10`

`=>6x=17`

Final step is to divide by `6` on both sides.

`=>(color(red)cancelcolor(black)6x)/color(red)cancelcolor(black)6=17/6`

`=>x=17/6`

Answer 2

`x` = `17/6`

Explanation:

Add 2`x` and 10 to both sides to get 6`x` = 17

Then divide both sides by 6 to leave `x` alone on one side, giving `x` = `17/6`

Answer 3

`x =17/6`

Explanation:

Move all the `x` terms to one side and the numbers to the other side.

`4x-10=7-2x" "larr` add `2x` to each side

`4x-10color(blue)(+2x) = 7-2xcolor(blue)(+2x)`

`6x -10color(red)(+10) = 7-10color(red)(+10)" "`add`color(red)(10)` to both sides

`6x = 17`

`(6x)/6 =17/6" "larr div 6` on both sides

`x =17/6`