What is the answer to 3.5=(4+2x)/(0.5-x) ?

The answer to 3.5=(4+2x)/(0.5-x) is x=-0.40909…

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3.5=(4+2x)/(0.5-x)

3.5 = \frac{4 + 2 x}{0.5 - x}

x = - 0.40909 \dots

Solution steps

3.5 = \frac{4 + 2 x}{0.5 - x}

Multiply both sides by

0.5 - x

3.5 (0.5 - x) = 4 + 2 x

Expand

3.5 (0.5 - x) : 1.75 - 3.5 x

1.75 - 3.5 x = 4 + 2 x

Move

1.75

to the right side

- 3.5 x = 2 x + 2.25

Move

2 x

to the left side

- 5.5 x = 2.25

Divide both sides by

- 5.5

x = - 0.40909 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0.5

Combine undefined points with solutions:

x = - 0.40909 \dots

\frac{10}{x} = \frac{2}{9}

\frac{5}{x + 9} = - 2

f, \frac{1}{f} = \frac{1}{p} + \frac{1}{q}

\frac{280}{x + 2} = 20 + \frac{5 x}{2}

- \frac{7}{x - 2} - 2 = - \frac{x}{x - 2}

What is the answer to 3.5=(4+2x)/(0.5-x) ?
The answer to 3.5=(4+2x)/(0.5-x) is x=-0.40909…
Solve for x: 3.5=(4+2x)/(0.5-x)
The solution is x=-0.40909…