Solve for x
x = \frac{12}{5} = 2\frac{2}{5} = 2.4
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3x-2+\frac{1}{3}x=6
Add \frac{1}{3}x to both sides.
\frac{10}{3}x-2=6
Combine 3x and \frac{1}{3}x to get \frac{10}{3}x.
\frac{10}{3}x=6+2
Add 2 to both sides.
\frac{10}{3}x=8
Add 6 and 2 to get 8.
x=8\times \frac{3}{10}
Multiply both sides by \frac{3}{10}, the reciprocal of \frac{10}{3}.
x=\frac{8\times 3}{10}
Express 8\times \frac{3}{10} as a single fraction.
x=\frac{24}{10}
Multiply 8 and 3 to get 24.
x=\frac{12}{5}
Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.
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