How do you solve #3- 2( x + 6) = - 1( x - 1) + 7#?
2 Answers
Mar 23, 2018
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"#