Simplify (8(3x+10)-1)/((3x+10)+4)

$\frac{8 (3 x + 10) - 1}{(3 x + 10) + 4}$

Step 1

Simplify the numerator.

Apply the distributive property.

$\frac{8 (3 x) + 8 \cdot 10 - 1}{3 x + 10 + 4}$

Multiply $3$ by $8$ .

$\frac{24 x + 8 \cdot 10 - 1}{3 x + 10 + 4}$

Multiply $8$ by $10$ .

$\frac{24 x + 80 - 1}{3 x + 10 + 4}$

Subtract $1$ from $80$ .

$\frac{24 x + 79}{3 x + 10 + 4}$

$\frac{24 x + 79}{3 x + 10 + 4}$

Step 2

Add $10$ and $4$ .

$\frac{24 x + 79}{3 x + 14}$

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