What is the answer to 5/(3x-8)=-1 ?

The answer to 5/(3x-8)=-1 is x=1

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5/(3x-8)=-1

\frac{5}{3 x - 8} = - 1

x = 1

Solution steps

\frac{5}{3 x - 8} = - 1

Multiply both sides by

3 x - 8

5 = - (3 x - 8)

Switch sides

- (3 x - 8) = 5

Divide both sides by

- 1

3 x - 8 = - 5

Move

8

to the right side

3 x = 3

Divide both sides by

3

x = 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{8}{3}

Combine undefined points with solutions:

x = 1

q + \frac{9}{q} = - 10

1 + \frac{3}{x - 5} = \frac{3}{x ^{2} - 9 x + 20}

y, x^{y} = y^{x}

2^{x} - 3 x - 1 = 0

8^{x} + 2^{x} = 130