Question

Solve the following equation by clearing fractions. Please show all work.
8/9-x/3 =2x-2

Answer 1

\[\frac{8}{9}-\frac{x}{3}=2x-2\]
\[9(\frac{8}{9}-\frac{x}{3})=9(2x-2)\]
\[8-3x=18x-18\]
\[8+18=18x+3x\]
\[26=21x\]
\[x=\frac{26}{21}\]