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#