Algebra Examples

$\frac{2 x + 4}{x - 3} = \frac{3 x}{x - 3}$

Step 1

Subtract $\frac{3 x}{x - 3}$ from both sides of the equation.

$\frac{2 x + 4}{x - 3} - \frac{3 x}{x - 3} = 0$

Step 2

Simplify $\frac{2 x + 4}{x - 3} - \frac{3 x}{x - 3}$ .

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Step 2.1

Combine the numerators over the common denominator.

$\frac{2 x + 4 - 3 x}{x - 3} = 0$

Step 2.2

Subtract $3 x$ from $2 x$ .

$\frac{- x + 4}{x - 3} = 0$

Step 2.3

Factor $- 1$ out of $- x$ .

$\frac{- (x) + 4}{x - 3} = 0$

Step 2.4

Rewrite $4$ as $- 1 (- 4)$ .

$\frac{- (x) - 1 (- 4)}{x - 3} = 0$

Step 2.5

Factor $- 1$ out of $- (x) - 1 (- 4)$ .

$\frac{- (x - 4)}{x - 3} = 0$

Step 2.6

Rewrite $- (x - 4)$ as $- 1 (x - 4)$ .

$\frac{- 1 (x - 4)}{x - 3} = 0$

Step 2.7

Move the negative in front of the fraction.

$- \frac{x - 4}{x - 3} = 0$

Step 3

Set the numerator equal to zero.

$x - 4 = 0$

Step 4

Add $4$ to both sides of the equation.

$x = 4$