What is the answer to 10=(1.8(1+x))/(0.15-x) ?

The answer to 10=(1.8(1+x))/(0.15-x) is x=-0.02542…

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10=(1.8(1+x))/(0.15-x)

10 = \frac{1.8 ( 1 + x )}{0.15 - x}

x = - 0.02542 \dots

Solution steps

10 = \frac{1.8 ( 1 + x )}{0.15 - x}

Multiply both sides by

0.15 - x

10 (0.15 - x) = 1.8 (1 + x)

Expand

10 (0.15 - x) : 1.5 - 10 x

Expand

1.8 (1 + x) : 1.8 + 1.8 x

1.5 - 10 x = 1.8 + 1.8 x

Move

1.5

to the right side

- 10 x = 1.8 x + 0.3

Move

1.8 x

to the left side

- 11.8 x = 0.3

Divide both sides by

- 11.8

x = - 0.02542 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0.15

Combine undefined points with solutions:

x = - 0.02542 \dots

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2 x + \frac{2}{x ^{3}} = 0

6 = \frac{1.5 x}{0.05 x + 17.4}

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

What is the answer to 10=(1.8(1+x))/(0.15-x) ?
The answer to 10=(1.8(1+x))/(0.15-x) is x=-0.02542…
Solve for x: 10=(1.8(1+x))/(0.15-x)
The solution is x=-0.02542…