Simplify 6a+8b+5(3a+b+4c)-(2a+3b)

$6 a + 8 b + 5 (3 a + b + 4 c) - (2 a + 3 b)$

Step 1

Simplify each term.

Apply the distributive property.

$6 a + 8 b + 5 (3 a) + 5 b + 5 (4 c) - (2 a + 3 b)$

Simplify.

Multiply $3$ by $5$ .

$6 a + 8 b + 15 a + 5 b + 5 (4 c) - (2 a + 3 b)$

Multiply $4$ by $5$ .

$6 a + 8 b + 15 a + 5 b + 20 c - (2 a + 3 b)$

Apply the distributive property.

$6 a + 8 b + 15 a + 5 b + 20 c - (2 a) - (3 b)$

Multiply $2$ by $- 1$ .

$6 a + 8 b + 15 a + 5 b + 20 c - 2 a - (3 b)$

Multiply $3$ by $- 1$ .

$6 a + 8 b + 15 a + 5 b + 20 c - 2 a - 3 b$

Step 2

Simplify by adding terms.

Add $6 a$ and $15 a$ .

$21 a + 8 b + 5 b + 20 c - 2 a - 3 b$

Subtract $2 a$ from $21 a$ .

$19 a + 8 b + 5 b + 20 c - 3 b$

Add $8 b$ and $5 b$ .

$19 a + 13 b + 20 c - 3 b$

Subtract $3 b$ from $13 b$ .

$19 a + 10 b + 20 c$