What is the answer to (5x+7)/2 = 3/(2x-14) ?

The answer to (5x+7)/2 = 3/(2x-14) is x=(2(7+sqrt(114)))/5 ,x=(2(7-sqrt(114)))/5

Solve for x: (5x+7)/2 = 3/(2x-14)

The solution is x=(2(7+sqrt(114)))/5 ,x=(2(7-sqrt(114)))/5

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\frac{5 x + 7}{2} = \frac{3}{2 x - 14}

x = \frac{2 ( 7 + 114 )}{5}, x = \frac{2 ( 7 - 114 )}{5}

Decimal Notation

x = 7.07083 \dots, x = - 1.47083 \dots

Solution steps

\frac{5 x + 7}{2} = \frac{3}{2 x - 14}

Cross multiply

(5 x + 7) (2 x - 14) = 6

Solve

(5 x + 7) (2 x - 14) = 6 : x = \frac{2 ( 7 + 114 )}{5}, x = \frac{2 ( 7 - 114 )}{5}

x = \frac{2 ( 7 + 114 )}{5}, x = \frac{2 ( 7 - 114 )}{5}

Verify Solutions

Find undefined (singularity) points:

x = 7

Combine undefined points with solutions:

x = \frac{2 ( 7 + 114 )}{5}, x = \frac{2 ( 7 - 114 )}{5}

3 x^{- 2} = \frac{4}{27}

\frac{1}{4 - 2 - \frac{1}{3} x} = 1 - x

0 = \frac{1}{( s + 1 )} + \frac{1}{( s + 3 )} + \frac{1}{( s + 5 )}

\frac{x}{2 - 1} = \frac{2}{3 x ^{2}}

1.4 = \frac{0 t + 1}{2 ( 10 ) t ^{2}}

What is the answer to (5x+7)/2 = 3/(2x-14) ?
The answer to (5x+7)/2 = 3/(2x-14) is x=(2(7+sqrt(114)))/5 ,x=(2(7-sqrt(114)))/5
Solve for x: (5x+7)/2 = 3/(2x-14)
The solution is x=(2(7+sqrt(114)))/5 ,x=(2(7-sqrt(114)))/5