What is the answer to (-0.87x)/(x-7)=0.29 ?

The answer to (-0.87x)/(x-7)=0.29 is x= 7/4

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(-0.87x)/(x-7)=0.29

\frac{- 0.87 x}{x - 7} = 0.29

x = \frac{7}{4}

Decimal Notation

x = 1.75

Solution steps

\frac{- 0.87 x}{x - 7} = 0.29

Simplify

\frac{- 0.87 x}{x - 7} : - \frac{0.87 x}{x - 7}

- \frac{0.87 x}{x - 7} = 0.29

Multiply both sides by

x - 7

- 0.87 x = 0.29 (x - 7)

Multiply both sides by

100

- 87 x = 29 (x - 7)

Expand

29 (x - 7) : 29 x - 203

- 87 x = 29 x - 203

Move

29 x

to the left side

- 116 x = - 203

Divide both sides by

- 116

x = \frac{7}{4}

Verify Solutions

Find undefined (singularity) points:

x = 7

Combine undefined points with solutions:

x = \frac{7}{4}

\frac{10}{7 y - 14} = - 4

\frac{7}{4} = \frac{5}{y} - 2

\frac{8}{x + 4} = \frac{6}{x - 4}

\frac{4 x - 1}{x} = 3 x

x + 2 = \frac{4}{x}

What is the answer to (-0.87x)/(x-7)=0.29 ?
The answer to (-0.87x)/(x-7)=0.29 is x= 7/4
Solve for x: (-0.87x)/(x-7)=0.29
The solution is x= 7/4