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

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

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

\frac{7 x - 3 + 32}{3 \cdot 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{2.5 x + 2}{5} = \frac{4}{5 - 3.5 x}

\frac{9}{2 x} = 5 + x^{2}

\frac{x ^{2} - 1}{3} = \frac{1}{6 x ^{2}}

x, \frac{4}{x} + y = 1

\frac{1}{( a + b + x )} = \frac{1}{a} + \frac{1}{b} + \frac{1}{x}

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