Question

How do you solve `-5(2x-6)+8x=22`?

Answer 1

`x=4`

Explanation:

`-5(2x-6)+8x=22`

`rArr -10x+30+8x=22`

`rArr 30-2x=22`

`rArr 2x=8`

`rArr x=8/2`

`:. x=4`

Hope this helps :)

Answer 2

`x=4`

Explanation:

`-5(2x-6)+8x=22` (distribute -5 to the numbers in the brackets)

`-10x+30+8x=22` (Combine like terms)

`-2x+30=22` (Subtract 30 from both sides)

`-2x=-8` (Divide both sides by -2 to isolate the variable)

`x=4`

Check the answer by plugging it into the original equation:

`-5(2(4)-6)+8(4)=22`

`-5(8-6)+32=22`

`-5(2)+32=22`

`-10+32=22`

`22=22`

Answer 3

`x=4`

Explanation:

`"distribute and simplify left side of equation"`

`-10x+30+8x=22`

`rArr-2x+30=22`

`"subtract 30 from both sides"`

`-2xcancel(+30)cancel(-30)=22-30`

`rArr-2x=-8`

`"divide both sides by "-2`

`(cancel(-2) x)/cancel(-2)=(-8)/(-2)`

`rArrx=4`

`color(blue)"As a check"`

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

`-5(8-6)+(8xx4)=-10+32=22=" right side"`

`rArrx=4" is the solution"`