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{( 19 - x )}{( 42 - x )} = 0.12

x, z = y^{2} + 2 f (\frac{1}{x} + lo g_{10} (y))

\frac{1}{( 2 a + b + 2 x )} = \frac{1}{( 2 a )} + \frac{1}{b} + \frac{1}{( 2 x )}

a, (p + 4) - 2 \frac{p}{a} = 8

\frac{12}{( 0.1 + x ) - 20} = \frac{12}{( 0.2 + x )}

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