What is the answer to (15)/(7x-4)= 1/(2x+3) ?

The answer to (15)/(7x-4)= 1/(2x+3) is x=-49/23

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(15)/(7x-4)= 1/(2x+3)

\frac{15}{7 x - 4} = \frac{1}{2 x + 3}

x = - \frac{49}{23}

Decimal Notation

x = - 2.13043 \dots

Solution steps

\frac{15}{7 x - 4} = \frac{1}{2 x + 3}

Cross multiply

30 x + 45 = 7 x - 4

Move

45

to the right side

30 x = 7 x - 49

Move

7 x

to the left side

23 x = - 49

Divide both sides by

23

x = - \frac{49}{23}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{7}, x = - \frac{3}{2}

Combine undefined points with solutions:

x = - \frac{49}{23}

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

0 = \frac{1}{2 x}

x, \frac{m}{x} = p - n

\frac{x - 7}{2 x} + 1 = \frac{x + 3}{x}

∣ x - 1 ∣ = \frac{2}{x}

What is the answer to (15)/(7x-4)= 1/(2x+3) ?
The answer to (15)/(7x-4)= 1/(2x+3) is x=-49/23
Solve for x: (15)/(7x-4)= 1/(2x+3)
The solution is x=-49/23