Algebra Examples

$\frac{17 - 2 x}{x} + \frac{10 - x}{x}$

Step 1

Combine the numerators over the common denominator.

$\frac{17 - 2 x + 10 - x}{x}$

Step 2

Add $17$ and $10$ .

$\frac{- 2 x + 27 - x}{x}$

Step 3

Subtract $x$ from $- 2 x$ .

$\frac{- 3 x + 27}{x}$

Step 4

Factor $3$ out of $- 3 x + 27$ .

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Step 4.1

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

$\frac{3 (- x) + 27}{x}$

Step 4.2

Factor $3$ out of $27$ .

$\frac{3 (- x) + 3 (9)}{x}$

Step 4.3

Factor $3$ out of $3 (- x) + 3 (9)$ .

$\frac{3 (- x + 9)}{x}$

$\frac{3 (- x + 9)}{x}$

Step 5

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

$\frac{3 (- (x) + 9)}{x}$

Step 6

Rewrite $9$ as $- 1 (- 9)$ .

$\frac{3 (- (x) - 1 (- 9))}{x}$

Step 7

Factor $- 1$ out of $- (x) - 1 (- 9)$ .

$\frac{3 (- (x - 9))}{x}$

Step 8

Simplify the expression.

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Step 8.1

Rewrite $- (x - 9)$ as $- 1 (x - 9)$ .

$\frac{3 (- 1 (x - 9))}{x}$

Step 8.2

Move the negative in front of the fraction.

$- \frac{3 (x - 9)}{x}$

$- \frac{3 (x - 9)}{x}$

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