How do you solve #24= 5x - 7( x - 2)#?

1 Answer
Jim G.
Mar 22, 2018

#x=-5#

Explanation:

#"distribute the parenthesis on the right side"#

#24=5x-7x+14#

#rArr-2x+14=24larrcolor(blue)"reversing the equation"#

#"subtract 14 from both sides"#

#-2xcancel(+14)cancel(-14)=24-14#

#rArr-2x=10#

#"divide both sides by "-2#

#(cancel(-2) x)/cancel(-2)=10/(-2)#

#rArrx=-5#

#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.

#"right "=-25-(7xx-7)=-25+49=24=" left"#

#rArrx=-5" is the solution"#

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