What is the answer to (7x-3+32)/(3x-1)= 1/3 ?

The answer to (7x-3+32)/(3x-1)= 1/3 is x=-44/9

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(7x-3+32)/(3x-1)= 1/3

\frac{7 x - 3 + 32}{3 x - 1} = \frac{1}{3}

x = - \frac{44}{9}

Decimal Notation

x = - 4.88888 \dots

Solution steps

\frac{7 x - 3 + 32}{3 x - 1} = \frac{1}{3}

Cross multiply

21 x + 87 = 3 x - 1

Move

87

to the right side

21 x = 3 x - 88

Move

3 x

to the left side

18 x = - 88

Divide both sides by

18

x = - \frac{44}{9}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}

Combine undefined points with solutions:

x = - \frac{44}{9}

\frac{2}{3 ( x + \frac{1}{5} )} = \frac{3}{4} (x - \frac{6}{3})

\frac{a}{b} = \frac{( 2 x )}{( x - 4 )}

\frac{n !}{( n - 2 ) !} = 30

\frac{x + 1}{2 x + 3} = \frac{3}{8}

\frac{( 2 x - 1 )}{( x + 2 )} + \frac{( x + 2 )}{( 2 x - 1 )} = \frac{10}{3}

What is the answer to (7x-3+32)/(3x-1)= 1/3 ?
The answer to (7x-3+32)/(3x-1)= 1/3 is x=-44/9
Solve for x: (7x-3+32)/(3x-1)= 1/3
The solution is x=-44/9