What is the answer to 2/(5x-2)= 3/(6x+1) ?

The answer to 2/(5x-2)= 3/(6x+1) is x= 8/3

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2/(5x-2)= 3/(6x+1)

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

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

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

Cross multiply

12 x + 2 = 15 x - 6

Move

2

to the right side

12 x = 15 x - 8

Move

15 x

to the left side

- 3 x = - 8

Divide both sides by

- 3

x = \frac{8}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{5}, x = - \frac{1}{6}

Combine undefined points with solutions:

x = \frac{8}{3}

\frac{3}{x - 10} = \frac{15}{x + 6}

\frac{z}{z + 15} = \frac{4}{9}

\frac{12}{x} = - 2

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

k, r = \frac{k}{k - 6}

What is the answer to 2/(5x-2)= 3/(6x+1) ?
The answer to 2/(5x-2)= 3/(6x+1) is x= 8/3
Solve for x: 2/(5x-2)= 3/(6x+1)
The solution is x= 8/3