What is the answer to (31)/(3(1+2x))=(51)/(2(2x-1)) ?

The answer to (31)/(3(1+2x))=(51)/(2(2x-1)) is x=-215/182

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(31)/(3(1+2x))=(51)/(2(2x-1))

\frac{31}{3 ( 1 + 2 x )} = \frac{51}{2 ( 2 x - 1 )}

x = - \frac{215}{182}

Decimal Notation

x = - 1.18131 \dots

Solution steps

\frac{31}{3 ( 1 + 2 x )} = \frac{51}{2 ( 2 x - 1 )}

Cross multiply

124 x - 62 = 153 + 306 x

Move

62

to the right side

124 x = 306 x + 215

Move

306 x

to the left side

- 182 x = 215

Divide both sides by

- 182

x = - \frac{215}{182}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - \frac{215}{182}

3750 = \frac{1225}{( 0.289 + \frac{0.1}{x} )}

\frac{3}{( x - 4 )} = \frac{2}{( x - 3 )} + \frac{8}{( x ^{2} - 7 x + 12 )}

x, \frac{2}{( x + 2 y )} + \frac{1}{( 2 x - y )} + \frac{5}{9} = 0

\frac{( n + 1 ) !}{( n + 3 ) !} = 600

\frac{( - 2 ) + x}{7 x} = 21

What is the answer to (31)/(3(1+2x))=(51)/(2(2x-1)) ?
The answer to (31)/(3(1+2x))=(51)/(2(2x-1)) is x=-215/182
Solve for x: (31)/(3(1+2x))=(51)/(2(2x-1))
The solution is x=-215/182