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 Question from M, a student: 7x-1/4-1/3[2x -1-x/2]=19/3

Hi,

The first step I would try in solving

$7x-\frac14-\frac13 \left[ 2x -1- \frac{x}{2} \right] = \frac{19}{3}$

is to multiply

$\frac13 \left[ 2x -1- \frac{x}{2} \right].$

This will transform the original equation to one with fractions having denominators 3, 4 and 6. Find the least common multiple of 3, 4 and 6 and multiply both sides of the equation by this number. This will transform the equation into one with no fractions. Solve this equation for x.

Write back if you need more assistance,
Penny

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