How do you solve #\frac { 3x } { 5} - 5= 5x#?

1 Answer
Jim G.
Jun 2, 2017

#x=-25/22#

Explanation:

#"to eliminate the fraction, multiply ALL terms by 5"#

#(cancel(5)xx(3x)/cancel(5))-(5xx5)=(5xx5x)#

#rArr3x-25=25xlarrcolor(red)" no fraction"#

#"subtract 3x from both sides"#

#cancel(3x)cancel(-3x)-25=25x-3x#

#rArr22x=-25larr" reversing the equation"#

#"divide both sides by 22"#

#(cancel(22)color(white)(x)x)/cancel(22)=(-25)/22#

#rArrx=-25/22#

#color(blue)"As a check"#

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

#(3xx-25/22xx1/5)-5=-15/22-110/22=-125/22#

#"right side "=5xx-25/22=-125/22=" left side"#

#rArrx=-25/22" is the solution"#

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