How do you solve #144= 5x + 6( - 5x - 1)#?

1 Answer
Jim G.
Mar 31, 2018

#x=-6#

Explanation:

#"distribute the parenthesis on right side and simplify"#

#144=5x-30x-6#

#rArr144=-25x-6#

#"add 6 to both sides"#

#144+6=-25xcancel(-6)cancel(+6)#

#rArr-25x=150larrcolor(blue)"reversing the equation"#

#"divide both sides by "-25#

#(cancel(-25) x)/cancel(-25)=150/(-25)#

#rArrx=-6#

#color(blue)"As a check"#

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

#-30+6(30-1)=-30+174=144#

#rArrx=-6" is the solution"#

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