Simplify 6-5/(x+3)

$6 - \frac{5}{x + 3}$

Step 1

To write $6$ as a fraction with a common denominator, multiply by $\frac{x + 3}{x + 3}$ .

$\frac{6 (x + 3)}{x + 3} - \frac{5}{x + 3}$

Step 2

Combine the numerators over the common denominator.

$\frac{6 (x + 3) - 5}{x + 3}$

Step 3

Simplify the numerator.

Apply the distributive property.

$\frac{6 x + 6 \cdot 3 - 5}{x + 3}$

Multiply $6$ by $3$ .

$\frac{6 x + 18 - 5}{x + 3}$

Subtract $5$ from $18$ .

$\frac{6 x + 13}{x + 3}$