Algebra Examples

$8 x - 6 = 4 x + 8 x + 12$

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.

$4 x + 8 x + 12 = 8 x - 6$

Step 2

Add $4 x$ and $8 x$ .

$12 x + 12 = 8 x - 6$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $8 x$ from both sides of the equation.

$12 x + 12 - 8 x = - 6$

Step 3.2

Subtract $8 x$ from $12 x$ .

$4 x + 12 = - 6$

Step 4

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

Tap for more steps...

Step 4.1

Subtract $12$ from both sides of the equation.

$4 x = - 6 - 12$

Step 4.2

Subtract $12$ from $- 6$ .

$4 x = - 18$

Step 5

Divide each term in $4 x = - 18$ by $4$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $4 x = - 18$ by $4$ .

$\frac{4 x}{4} = \frac{- 18}{4}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 18}{4}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 18}{4}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Cancel the common factor of $- 18$ and $4$ .

Tap for more steps...

Step 5.3.1.1

Factor $2$ out of $- 18$ .

$x = \frac{2 (- 9)}{4}$

Step 5.3.1.2

Cancel the common factors.

Tap for more steps...

Step 5.3.1.2.1

Factor $2$ out of $4$ .

$x = \frac{2 \cdot - 9}{2 \cdot 2}$

Step 5.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot - 9}{2 \cdot 2}$

Step 5.3.1.2.3

Rewrite the expression.

$x = \frac{- 9}{2}$

Step 5.3.2

Move the negative in front of the fraction.

$x = - \frac{9}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{9}{2}$

Decimal Form:

$x = - 4.5$

Mixed Number Form:

$x = - 4 \frac{1}{2}$