What is the answer to (7x+12)/(9x+3)= 2/5 ?

The answer to (7x+12)/(9x+3)= 2/5 is x=-54/17

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(7x+12)/(9x+3)= 2/5

\frac{7 x + 12}{9 x + 3} = \frac{2}{5}

x = - \frac{54}{17}

Decimal Notation

x = - 3.17647 \dots

Solution steps

\frac{7 x + 12}{9 x + 3} = \frac{2}{5}

Cross multiply

35 x + 60 = 18 x + 6

Move

60

to the right side

35 x = 18 x - 54

Move

18 x

to the left side

17 x = - 54

Divide both sides by

17

x = - \frac{54}{17}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

x = - \frac{54}{17}

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

\frac{5}{x - 9} - 3 = - \frac{x}{x - 9}

\frac{2}{x - 2} + \frac{3}{x} = \frac{5}{x - 4}

\frac{9}{- 3 x} = \frac{12}{x + 10}

\frac{6}{x + 7} = \frac{8}{x}

What is the answer to (7x+12)/(9x+3)= 2/5 ?
The answer to (7x+12)/(9x+3)= 2/5 is x=-54/17
Solve for x: (7x+12)/(9x+3)= 2/5
The solution is x=-54/17