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

3 Answers
Mar 30, 2018

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 :)

Mar 30, 2018

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

Mar 30, 2018

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"