Finite Math Examples

$x = \frac{65792.23 - x}{0.03}$

Step 1

Multiply both sides by $0.03$ .

$x \cdot 0.03 = \frac{65792.23 - x}{0.03} \cdot 0.03$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Move $0.03$ to the left of $x$ .

$0.03 x = \frac{65792.23 - x}{0.03} \cdot 0.03$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{65792.23 - x}{0.03} \cdot 0.03$ .

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Step 2.2.1.1

Factor $0.01$ out of $65792.23 - x$ .

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Step 2.2.1.1.1

Factor $0.01$ out of $65792.23$ .

$0.03 x = \frac{0.01 (6579223) - x}{0.03} \cdot 0.03$

Step 2.2.1.1.2

Factor $0.01$ out of $- x$ .

$0.03 x = \frac{0.01 (6579223) + 0.01 (- 100 x)}{0.03} \cdot 0.03$

Step 2.2.1.1.3

Factor $0.01$ out of $0.01 (6579223) + 0.01 (- 100 x)$ .

$0.03 x = \frac{0.01 (6579223 - 100 x)}{0.03} \cdot 0.03$

Step 2.2.1.2

Cancel the common factor of $0.01$ .

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Step 2.2.1.2.1

Cancel the common factor.

$0.03 x = \frac{0.01 (6579223 - 100 x)}{0.03} \cdot 0.03$

Step 2.2.1.2.2

Rewrite the expression.

$0.03 x = \frac{6579223 - 100 x}{0.03} \cdot \frac{0.03}{100}$

Step 2.2.1.3

Cancel the common factor of $0.03$ .

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Step 2.2.1.3.1

Cancel the common factor.

$0.03 x = \frac{6579223 - 100 x}{0.03} \cdot \frac{0.03}{100}$

Step 2.2.1.3.2

Rewrite the expression.

$0.03 x = (6579223 - 100 x) \cdot \frac{1}{100}$

Step 2.2.1.4

Apply the distributive property.

$0.03 x = 6579223 (\frac{1}{100}) - 100 x \frac{1}{100}$

Step 2.2.1.5

Combine $6579223$ and $\frac{1}{100}$ .

$0.03 x = \frac{6579223}{100} - 100 x \frac{1}{100}$

Step 2.2.1.6

Cancel the common factor of $100$ .

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Step 2.2.1.6.1

Factor $100$ out of $- 100 x$ .

$0.03 x = \frac{6579223}{100} + 100 (- x) \frac{1}{100}$

Step 2.2.1.6.2

Cancel the common factor.

$0.03 x = \frac{6579223}{100} + 100 (- x) \frac{1}{100}$

Step 2.2.1.6.3

Rewrite the expression.

$0.03 x = \frac{6579223}{100} - x$

Step 2.2.1.7

Reorder $\frac{6579223}{100}$ and $- x$ .

$0.03 x = - x + \frac{6579223}{100}$

Step 3

Solve for $x$ .

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Step 3.1

Move all terms containing $x$ to the left side of the equation.

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Step 3.1.1

Add $x$ to both sides of the equation.

$0.03 x + x = \frac{6579223}{100}$

Step 3.1.2

Add $0.03 x$ and $x$ .

$1.03 x = \frac{6579223}{100}$

Step 3.2

Divide each term in $1.03 x = \frac{6579223}{100}$ by $1.03$ and simplify.

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Step 3.2.1

Divide each term in $1.03 x = \frac{6579223}{100}$ by $1.03$ .

$\frac{1.03 x}{1.03} = \frac{\frac{6579223}{100}}{1.03}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $1.03$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{1.03 x}{1.03} = \frac{\frac{6579223}{100}}{1.03}$

Step 3.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{6579223}{100}}{1.03}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{6579223}{100} \cdot \frac{1}{1.03}$

Step 3.2.3.2

Divide $1$ by $1.03$ .

$x = \frac{6579223}{100} \cdot 0.97087378$

Step 3.2.3.3

Multiply $\frac{6579223}{100} \cdot 0.97087378$ .

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Step 3.2.3.3.1

Combine $\frac{6579223}{100}$ and $0.97087378$ .

$x = \frac{6579223 \cdot 0.97087378}{100}$

Step 3.2.3.3.2

Multiply $6579223$ by $0.97087378$ .

$x = \frac{6387595.14563106}{100}$

Step 3.2.3.4

Divide $6387595.14563106$ by $100$ .

$x = 63875.95145631$