Algebra Examples

$\frac{3 x - 6}{2 - x} = 3$

Step 1

Subtract $3$ from both sides of the equation.

$\frac{3 x - 6}{2 - x} - 3 = 0$

Step 2

Simplify $\frac{3 x - 6}{2 - x} - 3$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Factor $3$ out of $3 x - 6$ .

Tap for more steps...

Step 2.1.1.1

Factor $3$ out of $3 x$ .

$\frac{3 (x) - 6}{2 - x} - 3 = 0$

Step 2.1.1.2

Factor $3$ out of $- 6$ .

$\frac{3 x + 3 \cdot - 2}{2 - x} - 3 = 0$

Step 2.1.1.3

Factor $3$ out of $3 x + 3 \cdot - 2$ .

$\frac{3 (x - 2)}{2 - x} - 3 = 0$

$\frac{3 (x - 2)}{2 - x} - 3 = 0$

Step 2.1.2

Cancel the common factor of $x - 2$ and $2 - x$ .

Tap for more steps...

Step 2.1.2.1

Factor $- 1$ out of $x$ .

$\frac{3 (- 1 (- x) - 2)}{2 - x} - 3 = 0$

Step 2.1.2.2

Rewrite $- 2$ as $- 1 (2)$ .

$\frac{3 (- 1 (- x) - 1 (2))}{2 - x} - 3 = 0$

Step 2.1.2.3

Factor $- 1$ out of $- 1 (- x) - 1 (2)$ .

$\frac{3 (- 1 (- x + 2))}{2 - x} - 3 = 0$

Step 2.1.2.4

Reorder terms.

$\frac{3 (- 1 (- x + 2))}{- x + 2} - 3 = 0$

Step 2.1.2.5

Cancel the common factor.

$\frac{3 (- 1 (- x + 2))}{- x + 2} - 3 = 0$

Step 2.1.2.6

Divide $3 \cdot (- 1)$ by $1$ .

$3 \cdot (- 1) - 3 = 0$

$3 \cdot (- 1) - 3 = 0$

Step 2.1.3

Multiply $3$ by $- 1$ .

$- 3 - 3 = 0$

$- 3 - 3 = 0$

Step 2.2

Subtract $3$ from $- 3$ .

$- 6 = 0$

$- 6 = 0$

Step 3

Since $- 6 \neq 0$ , there are no solutions.

No solution

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$