What is the answer to (4x-6)/(10x)=2 ?

The answer to (4x-6)/(10x)=2 is x=-3/8

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(4x-6)/(10x)=2

\frac{4 x - 6}{10 x} = 2

x = - \frac{3}{8}

Decimal Notation

x = - 0.375

Solution steps

\frac{4 x - 6}{10 x} = 2

Simplify

\frac{4 x - 6}{10 x} : \frac{2 x - 3}{5 x}

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

Multiply both sides by

x

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

Multiply both sides by

5

2 x - 3 = 10 x

Move

3

to the right side

2 x = 10 x + 3

Move

10 x

to the left side

- 8 x = 3

Divide both sides by

- 8

x = - \frac{3}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{3}{8}

\frac{4}{x - 2} = \frac{10}{3 x}

k, t = \frac{k}{k - 2}

- 12 x + (\frac{8000}{x}) = 0

\frac{3}{x} = \frac{12}{12}

\frac{4 x ( 5 - x ) - 1}{2 - 35 - x} = 0