Finite Math Examples

$3 (x - 9) = 6 (x + 8) - x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 (x + 8) - x = 3 (x - 9)$

Step 2

Simplify $6 (x + 8) - x$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

$6 x + 6 \cdot 8 - x = 3 (x - 9)$

Step 2.1.2

Multiply $6$ by $8$ .

$6 x + 48 - x = 3 (x - 9)$

Step 2.2

Subtract $x$ from $6 x$ .

$5 x + 48 = 3 (x - 9)$

Step 3

Simplify $3 (x - 9)$ .

Tap for more steps...

Step 3.1

Apply the distributive property.

$5 x + 48 = 3 x + 3 \cdot - 9$

Step 3.2

Multiply $3$ by $- 9$ .

$5 x + 48 = 3 x - 27$

Step 4

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

Tap for more steps...

Step 4.1

Subtract $3 x$ from both sides of the equation.

$5 x + 48 - 3 x = - 27$

Step 4.2

Subtract $3 x$ from $5 x$ .

$2 x + 48 = - 27$

Step 5

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

Tap for more steps...

Step 5.1

Subtract $48$ from both sides of the equation.

$2 x = - 27 - 48$

Step 5.2

Subtract $48$ from $- 27$ .

$2 x = - 75$

Step 6

Divide each term in $2 x = - 75$ by $2$ and simplify.

Tap for more steps...

Step 6.1

Divide each term in $2 x = - 75$ by $2$ .

$\frac{2 x}{2} = \frac{- 75}{2}$

Step 6.2

Simplify the left side.

Tap for more steps...

Step 6.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 6.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 75}{2}$

Step 6.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 75}{2}$

Step 6.3

Simplify the right side.

Tap for more steps...

Step 6.3.1

Move the negative in front of the fraction.

$x = - \frac{75}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{75}{2}$

Decimal Form:

$x = - 37.5$

Mixed Number Form:

$x = - 37 \frac{1}{2}$