How do you solve #(5x)/12+1/4=x/6-1/2#?

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Answer 1 · 2018-06-14T14:49:45

x = -3

#\frac{5x}{12}+\frac{1}{4}=\frac{x}{6}-\frac{1}{2}#

subtract 1/4 from both sides

#\frac{5x}{12}+\frac{1}{4}-\frac{1}{4}=\frac{x}{6}-\frac{1}{2}-\frac{1}{4}#

simplify

#\frac{5x}{12}=-\frac{3}{4}+\frac{x}{6}#

subtract x/6 from both sides

#\frac{5x}{12}-\frac{x}{6}=-\frac{3}{4}+\frac{x}{6}-\frac{x}{6}#

simplify

#\frac{x}{4}=-\frac{3}{4}#

multiply both sides by 4

#\frac{4x}{4}=4\(-\frac{3}{4}\)#

simplify (last step!!)

and get x = -3