How do you solve #x+ \frac { 5} { 6} = 2x - \frac { 1} { 4}#?
1 Answer
Apr 27, 2018
Explanation:
#"We can eliminate the fractions in the equation by"#
#"multiplying all terms by the "color(blue)"lowest common multiple"#
#"of 6 and 4, that is 12"#
#12x+(cancel(12)^2xx5/cancel(6)^1)=24x-(cancel(12)^3xx1/cancel(4)^1)#
#rArr12x+10=24x-3larrcolor(red)"no fractions"#
#"collect terms in x on one side of the equation and numeric"#
#"values on the other side"#
#"subtract "12x" from both sides"#
#cancel(12x)cancel(-12x)+10=24x-12x-3#
#rArr10=12x-3#
#"add 3 to both sides"#
#10+3=12xcancel(-3)cancel(+3)#
#rArr13=12x#
#"divide both sides by 12"#
#13/12=(cancel(12) x)/cancel(12)#
#rArrx=13/12#