What is the answer to -7/(x-1)+4x=-(7x)/(x-1) ?

The answer to -7/(x-1)+4x=-(7x)/(x-1) is x=-7/4

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-7/(x-1)+4x=-(7x)/(x-1)

- \frac{7}{x - 1} + 4 x = - \frac{7 x}{x - 1}

x = - \frac{7}{4}

Decimal

x = - 1.75

Solution steps

- \frac{7}{x - 1} + 4 x = - \frac{7 x}{x - 1}

Multiply both sides by

x - 1

- 7 + 4 x (x - 1) = - 7 x

Solve

- 7 + 4 x (x - 1) = - 7 x : x = 1, x = - \frac{7}{4}

x = 1, x = - \frac{7}{4}

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

x = - \frac{7}{4}

\frac{7}{15} = \frac{42}{n}

\frac{1}{x + 4} + \frac{8}{x ^{2} - 16} = 1

x + \frac{2 x + 3}{x - 1} = \frac{5}{x - 1}

\frac{x ^{2} - 4 x}{x - 2} = 1 + \frac{4}{2 - x}

x, \frac{1}{x} = \frac{1}{y} + \frac{1}{n}

What is the answer to -7/(x-1)+4x=-(7x)/(x-1) ?
The answer to -7/(x-1)+4x=-(7x)/(x-1) is x=-7/4
Solve for x: -7/(x-1)+4x=-(7x)/(x-1)
The solution is x=-7/4