What is the answer to ((0.2x+5))/((3.5x-3))= 2/5 ?

The answer to ((0.2x+5))/((3.5x-3))= 2/5 is x= 31/6

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((0.2x+5))/((3.5x-3))= 2/5

\frac{( 0.2 x + 5 )}{( 3.5 x - 3 )} = \frac{2}{5}

x = \frac{31}{6}

Decimal Notation

x = 5.16666 \dots

Solution steps

\frac{( 0.2 x + 5 )}{( 3.5 x - 3 )} = \frac{2}{5}

Cross multiply

x + 25 = 7 x - 6

Move

25

to the right side

x = 7 x - 31

Move

7 x

to the left side

- 6 x = - 31

Divide both sides by

- 6

x = \frac{31}{6}

Verify Solutions

Find undefined (singularity) points:

x = \frac{6}{7}

Combine undefined points with solutions:

x = \frac{31}{6}

\frac{4}{( x ^{2} + x + 3 )} + \frac{5}{( x ^{2} - 5 x + 3 )} + \frac{3}{2} x = 0

\frac{31}{5 + n} = 9

x, \frac{1}{x} - \frac{1}{( x + h )} = 0

x^{2} + x = \frac{2}{x ^{2} + x + 1}

\frac{( 1.2 - n )}{( 1 - n )} = 1.4

What is the answer to ((0.2x+5))/((3.5x-3))= 2/5 ?
The answer to ((0.2x+5))/((3.5x-3))= 2/5 is x= 31/6
Solve for x: ((0.2x+5))/((3.5x-3))= 2/5
The solution is x= 31/6