What is the answer to (10)/(6x+7)= 6/(2x+9) ?

The answer to (10)/(6x+7)= 6/(2x+9) is x=3

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(10)/(6x+7)= 6/(2x+9)

\frac{10}{6 x + 7} = \frac{6}{2 x + 9}

x = 3

Solution steps

\frac{10}{6 x + 7} = \frac{6}{2 x + 9}

Cross multiply

20 x + 90 = 36 x + 42

Move

90

to the right side

20 x = 36 x - 48

Move

36 x

to the left side

- 16 x = - 48

Divide both sides by

- 16

x = 3

Verify Solutions

Find undefined (singularity) points:

x = - \frac{7}{6}, x = - \frac{9}{2}

Combine undefined points with solutions:

x = 3

- \frac{70}{x} = - 7

\frac{y + 6}{y} - \frac{5}{4} = 0

\frac{5}{w} = \frac{3}{w + 1}

\frac{3}{x - 2} = 5

\frac{x}{x - 2} + 7 = \frac{2}{x - 2}

What is the answer to (10)/(6x+7)= 6/(2x+9) ?
The answer to (10)/(6x+7)= 6/(2x+9) is x=3
Solve for x: (10)/(6x+7)= 6/(2x+9)
The solution is x=3