Finite Math Examples

$0.089 x - 1.3 = 0.17 x - c x$

Step 1

Rewrite the equation as $0.17 x - c x = 0.089 x - 1.3$ .

$0.17 x - c x = 0.089 x - 1.3$

Step 2

Move all terms not containing $c$ to the right side of the equation.

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Step 2.1

Subtract $0.17 x$ from both sides of the equation.

$- c x = 0.089 x - 1.3 - 0.17 x$

Step 2.2

Subtract $0.17 x$ from $0.089 x$ .

$- c x = - 0.081 x - 1.3$

Step 3

Divide each term in $- c x = - 0.081 x - 1.3$ by $- x$ and simplify.

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Step 3.1

Divide each term in $- c x = - 0.081 x - 1.3$ by $- x$ .

$\frac{- c x}{- x} = \frac{- 0.081 x}{- x} + \frac{- 1.3}{- x}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{c x}{x} = \frac{- 0.081 x}{- x} + \frac{- 1.3}{- x}$

Step 3.2.2

Cancel the common factor of $x$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{c x}{x} = \frac{- 0.081 x}{- x} + \frac{- 1.3}{- x}$

Step 3.2.2.2

Divide $c$ by $1$ .

$c = \frac{- 0.081 x}{- x} + \frac{- 1.3}{- x}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $x$ .

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Step 3.3.1.1.1

Cancel the common factor.

$c = \frac{- 0.081 x}{- x} + \frac{- 1.3}{- x}$

Step 3.3.1.1.2

Rewrite the expression.

$c = \frac{- 0.081}{- 1} + \frac{- 1.3}{- x}$

Step 3.3.1.1.3

Move the negative one from the denominator of $\frac{- 0.081}{- 1}$ .

$c = - 1 \cdot - 0.081 + \frac{- 1.3}{- x}$

Step 3.3.1.2

Rewrite $- 1 \cdot - 0.081$ as $- - 0.081$ .

$c = - - 0.081 + \frac{- 1.3}{- x}$

Step 3.3.1.3

Multiply $- 1$ by $- 0.081$ .

$c = 0.081 + \frac{- 1.3}{- x}$

Step 3.3.1.4

Dividing two negative values results in a positive value.

$c = 0.081 + \frac{1.3}{x}$