What is the answer to (x-6)/(2x+1)=10 ?

The answer to (x-6)/(2x+1)=10 is x=-16/19

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(x-6)/(2x+1)=10

\frac{x - 6}{2 x + 1} = 10

x = - \frac{16}{19}

Decimal Notation

x = - 0.84210 \dots

Solution steps

\frac{x - 6}{2 x + 1} = 10

Multiply both sides by

2 x + 1

x - 6 = 10 (2 x + 1)

Expand

10 (2 x + 1) : 20 x + 10

x - 6 = 20 x + 10

Move

6

to the right side

x = 20 x + 16

Move

20 x

to the left side

- 19 x = 16

Divide both sides by

- 19

x = - \frac{16}{19}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = - \frac{16}{19}

x, \frac{c}{x} = r d

n^{0.001} = \frac{2}{c}

\frac{1}{x - 8} = \frac{1}{x - 9}

\frac{8}{x - 7} + 1 = \frac{9}{x - 7}

\frac{4}{33 + x} = \frac{1}{3}

What is the answer to (x-6)/(2x+1)=10 ?
The answer to (x-6)/(2x+1)=10 is x=-16/19
Solve for x: (x-6)/(2x+1)=10
The solution is x=-16/19