Question

solve by clearing fractions. -2 + 3/4x=5x - 1/3
one more thing, if a problem has fractions dont you always solve it by clearing the fractions first?

Answer 1

\[-2+\frac{3}{4}x=5x-\frac{1}{3}\]


multiply both sides by 12
\[-24+9x=60x-4\]
\[-24+4=60x-9x\]
\[-20=51x\]
\[\frac{-20}{51}=x\]
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OR:

\[-2+\frac{1}{3}=5x-\frac{3}{4}x\]
find commom denominator
\[\frac{-2*3}{3}+\frac{1}{3}=\frac{5*4}{4}x-\frac{3}{4}x\]
\[\frac{-6+1}{3}=\frac{20-3}{4}x\]
\[\frac{-5}{3}=\frac{17}{4}x\]
\[\frac{-5*4}{3*17}=x\]
\[x=\frac{-20}{51}\]