Simplify 8(2x-5)-3(x+16)+5

$8 (2 x - 5) - 3 (x + 16) + 5$

Step 1

Simplify each term.

Apply the distributive property.

$8 (2 x) + 8 \cdot - 5 - 3 (x + 16) + 5$

Multiply $2$ by $8$ .

$16 x + 8 \cdot - 5 - 3 (x + 16) + 5$

Multiply $8$ by $- 5$ .

$16 x - 40 - 3 (x + 16) + 5$

Apply the distributive property.

$16 x - 40 - 3 x - 3 \cdot 16 + 5$

Multiply $- 3$ by $16$ .

$16 x - 40 - 3 x - 48 + 5$

$16 x - 40 - 3 x - 48 + 5$

Step 2

Simplify by adding terms.

Subtract $3 x$ from $16 x$ .

$13 x - 40 - 48 + 5$

Simplify by adding and subtracting.

Subtract $48$ from $- 40$ .

$13 x - 88 + 5$

Add $- 88$ and $5$ .

$13 x - 83$

$13 x - 83$

$13 x - 83$

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