Finite Math Examples

$p - 2.34 = - 0.0011 (x - 7800)$

Step 1

Rewrite the equation as $- 0.0011 (x - 7800) = p - 2.34$ .

$- 0.0011 (x - 7800) = p - 2.34$

Step 2

Divide each term in $- 0.0011 (x - 7800) = p - 2.34$ by $- 0.0011$ and simplify.

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Step 2.1

Divide each term in $- 0.0011 (x - 7800) = p - 2.34$ by $- 0.0011$ .

$\frac{- 0.0011 (x - 7800)}{- 0.0011} = \frac{p}{- 0.0011} + \frac{- 2.34}{- 0.0011}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 0.0011$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 0.0011 (x - 7800)}{- 0.0011} = \frac{p}{- 0.0011} + \frac{- 2.34}{- 0.0011}$

Step 2.2.1.2

Divide $x - 7800$ by $1$ .

$x - 7800 = \frac{p}{- 0.0011} + \frac{- 2.34}{- 0.0011}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative in front of the fraction.

$x - 7800 = - \frac{p}{0.0011} + \frac{- 2.34}{- 0.0011}$

Step 2.3.1.2

Multiply by $1$ .

$x - 7800 = - \frac{1 p}{0.0011} + \frac{- 2.34}{- 0.0011}$

Step 2.3.1.3

Factor $0.0011$ out of $0.0011$ .

$x - 7800 = - \frac{1 p}{0.0011 (1)} + \frac{- 2.34}{- 0.0011}$

Step 2.3.1.4

Separate fractions.

$x - 7800 = - (\frac{1}{0.0011} \cdot \frac{p}{1}) + \frac{- 2.34}{- 0.0011}$

Step 2.3.1.5

Divide $1$ by $0.0011$ .

$x - 7800 = - (909.\overline{09} \frac{p}{1}) + \frac{- 2.34}{- 0.0011}$

Step 2.3.1.6

Divide $p$ by $1$ .

$x - 7800 = - (909.\overline{09} p) + \frac{- 2.34}{- 0.0011}$

Step 2.3.1.7

Multiply $909.\overline{09}$ by $- 1$ .

$x - 7800 = - 909.\overline{09} p + \frac{- 2.34}{- 0.0011}$

Step 2.3.1.8

Divide $- 2.34$ by $- 0.0011$ .

$x - 7800 = - 909.\overline{09} p + 2127.\overline{27}$

Step 3

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

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Step 3.1

Add $7800$ to both sides of the equation.

$x = - 909.\overline{09} p + 2127.\overline{27} + 7800$

Step 3.2

Add $2127.\overline{27}$ and $7800$ .

$x = - 909.\overline{09} p + 9927.\overline{27}$