Solve ( (5x-13)/2 )-( (3x-17)/3 )= (13x-1)/6

Evaluate

(\frac{5 x - 13}{2}) - (\frac{3 x - 17}{3}) = \frac{13 x - 1}{6}

Simplify

More Steps

\frac{5 x - 13}{2} - \frac{3 x - 17}{3} = \frac{13 x - 1}{6}

Multiply both sides of the equation by LCD

(\frac{5 x - 13}{2} - \frac{3 x - 17}{3}) \times 6 = \frac{13 x - 1}{6} \times 6

Simplify the equation

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9 x - 5 = \frac{13 x - 1}{6} \times 6

Simplify the equation

9 x - 5 = 13 x - 1

Move the expression to the left side

9 x - 5 - 13 x = - 1

Move the expression to the right side

9 x - 13 x = - 1 + 5

Add and subtract

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- 4 x = - 1 + 5

Add and subtract

- 4 x = 4

Change the signs on both sides of the equation

4 x = - 4

Divide both sides

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

Divide the numbers

x = \frac{- 4}{4}

Solution

More Steps

x = - 1

Solve the equation