Finite Math Examples

$0.066 = \frac{25000 - x}{(x) (10)}$

Step 1

Rewrite the equation as $\frac{25000 - x}{x (10)} = 0.066$ .

$\frac{25000 - x}{x (10)} = 0.066$

Step 2

Move $10$ to the left of $x$ .

$\frac{25000 - x}{10 x} = 0.066$

Step 3

Find the LCD of the terms in the equation.

Tap for more steps...

Step 3.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$10 x, 1$

Step 3.2

The LCM of one and any expression is the expression.

$10 x$

Step 4

Multiply each term in $\frac{25000 - x}{10 x} = 0.066$ by $10 x$ to eliminate the fractions.

Tap for more steps...

Step 4.1

Multiply each term in $\frac{25000 - x}{10 x} = 0.066$ by $10 x$ .

$\frac{25000 - x}{10 x} (10 x) = 0.066 (10 x)$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Rewrite using the commutative property of multiplication.

$10 \frac{25000 - x}{10 x} x = 0.066 (10 x)$

Step 4.2.2

Cancel the common factor of $10$ .

Tap for more steps...

Step 4.2.2.1

Factor $10$ out of $10 x$ .

$10 \frac{25000 - x}{10 (x)} x = 0.066 (10 x)$

Step 4.2.2.2

Cancel the common factor.

$10 \frac{25000 - x}{10 x} x = 0.066 (10 x)$

Step 4.2.2.3

Rewrite the expression.

$\frac{25000 - x}{x} x = 0.066 (10 x)$

Step 4.2.3

Cancel the common factor of $x$ .

Tap for more steps...

Step 4.2.3.1

Cancel the common factor.

$\frac{25000 - x}{x} x = 0.066 (10 x)$

Step 4.2.3.2

Rewrite the expression.

$25000 - x = 0.066 (10 x)$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Multiply $10$ by $0.066$ .

$25000 - x = 0.66 x$

Step 5

Solve the equation.

Tap for more steps...

Step 5.1

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

Tap for more steps...

Step 5.1.1

Subtract $0.66 x$ from both sides of the equation.

$25000 - x - 0.66 x = 0$

Step 5.1.2

Subtract $0.66 x$ from $- x$ .

$25000 - 1.66 x = 0$

Step 5.2

Subtract $25000$ from both sides of the equation.

$- 1.66 x = - 25000$

Step 5.3

Divide each term in $- 1.66 x = - 25000$ by $- 1.66$ and simplify.

Tap for more steps...

Step 5.3.1

Divide each term in $- 1.66 x = - 25000$ by $- 1.66$ .

$\frac{- 1.66 x}{- 1.66} = \frac{- 25000}{- 1.66}$

Step 5.3.2

Simplify the left side.

Tap for more steps...

Step 5.3.2.1

Cancel the common factor of $- 1.66$ .

Tap for more steps...

Step 5.3.2.1.1

Cancel the common factor.

$\frac{- 1.66 x}{- 1.66} = \frac{- 25000}{- 1.66}$

Step 5.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 25000}{- 1.66}$

Step 5.3.3

Simplify the right side.

Tap for more steps...

Step 5.3.3.1

Divide $- 25000$ by $- 1.66$ .

$x = 15060.24096385$