Finite Math Examples

$- 6 x = 4 x + 4$

Step 1

Move all the expressions to the left side of the equation.

Tap for more steps...

Step 1.1

Subtract $4 x$ from both sides of the equation.

$- 6 x - 4 x = 4$

Step 1.2

Subtract $4$ from both sides of the equation.

$- 6 x - 4 x - 4 = 0$

Step 2

Subtract $4 x$ from $- 6 x$ .

$- 10 x - 4 = 0$

Step 3

Factor $2$ out of $- 10 x - 4$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $- 10 x$ .

$2 (- 5 x) - 4 = 0$

Step 3.2

Factor $2$ out of $- 4$ .

$2 (- 5 x) + 2 (- 2) = 0$

Step 3.3

Factor $2$ out of $2 (- 5 x) + 2 (- 2)$ .

$2 (- 5 x - 2) = 0$

Step 4

Divide each term in $2 (- 5 x - 2) = 0$ by $2$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $2 (- 5 x - 2) = 0$ by $2$ .

$\frac{2 (- 5 x - 2)}{2} = \frac{0}{2}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{2 (- 5 x - 2)}{2} = \frac{0}{2}$

Step 4.2.1.2

Divide $- 5 x - 2$ by $1$ .

$- 5 x - 2 = \frac{0}{2}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $0$ by $2$ .

$- 5 x - 2 = 0$

Step 5

Add $2$ to both sides of the equation.

$- 5 x = 2$

Step 6

Divide each term in $- 5 x = 2$ by $- 5$ and simplify.

Tap for more steps...

Step 6.1

Divide each term in $- 5 x = 2$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{2}{- 5}$

Step 6.2

Simplify the left side.

Tap for more steps...

Step 6.2.1

Cancel the common factor of $- 5$ .

Tap for more steps...

Step 6.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{2}{- 5}$

Step 6.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{- 5}$

Step 6.3

Simplify the right side.

Tap for more steps...

Step 6.3.1

Move the negative in front of the fraction.

$x = - \frac{2}{5}$