What is the answer to (4x+1)/(3x)= 5/6 ?

The answer to (4x+1)/(3x)= 5/6 is x=-2/3

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(4x+1)/(3x)= 5/6

\frac{4 x + 1}{3 x} = \frac{5}{6}

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

\frac{4 x + 1}{3 x} = \frac{5}{6}

Cross multiply

24 x + 6 = 15 x

Move

6

to the right side

24 x = 15 x - 6

Move

15 x

to the left side

9 x = - 6

Divide both sides by

9

x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{3}

\frac{- 4}{x ^{2}} = 0

- \frac{12 x}{( x ^{2} - 9 ) ^{2}} = 0

\frac{41}{x} = \frac{45}{100}

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

- \frac{128}{x ^{2}} + 2 x = 0

What is the answer to (4x+1)/(3x)= 5/6 ?
The answer to (4x+1)/(3x)= 5/6 is x=-2/3
Solve for x: (4x+1)/(3x)= 5/6
The solution is x=-2/3