How do you solve 3- 2( x + 6) = - 1( x - 1) + 7?

2 Answers
Mar 23, 2018

x=-17

Explanation:

"distribute parenthesis on both sides of the equation"

3-2x-12=-x+1+7larrcolor(blue)"collect like terms"

rArr-2x-9=-x+8

"add 2x to both sides"

cancel(-2x)cancel(+2x)-9=2x-x+8

rArr-9=x+8

"subtract 8 from both sides"

-9-8=xcancel(+8)cancel(-8)

rArr-17=xrArrx=-17

color(blue)"As a check"

Substitute this value into the equation and if both sides are equal then it is the solution.

"left "=3-(2xx-11)=3-(-22)=3+22=25

"right "=(-1xx-18)+7=18+7=25

rArrx=-17" is the solution"

Mar 23, 2018

x=-17

Explanation:

3-2(x+6)=-1(x-1)+7

3-2x-12=-x+1+7

-2x-9=-x+8

-9=x+8

x=-9-8

x=-17