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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $4$ by $- 1$ .

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

Multiply $6$ by $- 1$ .

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

Multiply $- 5$ by $- 1$ .

$a + 2 b + 3 c - 4 a - 6 b + 5 c$

$a + 2 b + 3 c - 4 a - 6 b + 5 c$

$a + 2 b + 3 c - 4 a - 6 b + 5 c$

Step 2

Simplify by adding terms.

Subtract $4 a$ from $a$ .

$- 3 a + 2 b + 3 c - 6 b + 5 c$

Subtract $6 b$ from $2 b$ .

$- 3 a - 4 b + 3 c + 5 c$

Add $3 c$ and $5 c$ .

$- 3 a - 4 b + 8 c$

$- 3 a - 4 b + 8 c$

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