What is the answer to 2/(3x+1)=(1.5-1)/6 ?

The answer to 2/(3x+1)=(1.5-1)/6 is x= 23/3

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2/(3x+1)=(1.5-1)/6

\frac{2}{3 x + 1} = \frac{1.5 - 1}{6}

x = \frac{23}{3}

Decimal Notation

x = 7.66666 \dots

Solution steps

\frac{2}{3 x + 1} = \frac{1.5 - 1}{6}

Cross multiply

12 = 0.5 (3 x + 1)

Switch sides

0.5 (3 x + 1) = 12

Divide both sides by

0.5

3 x + 1 = 24

Move

1

to the right side

3 x = 23

Divide both sides by

3

x = \frac{23}{3}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

x = \frac{23}{3}

\frac{2 - 2}{3 \cdot x} = \frac{4}{15}

\frac{3 x}{4 x - 1} = 2

- 17 x^{- 1} = 51

\frac{1 0 ^{2}}{x} + \frac{2 5 ^{1}}{x} = (4.25) \frac{5 0 ^{1}}{x}

\frac{- 6}{13 xx} = 24

What is the answer to 2/(3x+1)=(1.5-1)/6 ?
The answer to 2/(3x+1)=(1.5-1)/6 is x= 23/3
Solve for x: 2/(3x+1)=(1.5-1)/6
The solution is x= 23/3