Basic Math Examples

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

Step 1

Remove parentheses.

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

Step 2

Combine the opposite terms in $a + 3 b - c + 2 b - a + 3 c + 4 c - 3 a + 2 b$ .

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Step 2.1

Subtract $a$ from $a$ .

$3 b - c + 2 b + 0 + 3 c + 4 c - 3 a + 2 b$

Step 2.2

Add $3 b - c + 2 b$ and $0$ .

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

Step 3

Add $3 b$ and $2 b$ .

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

Step 4

Add $5 b$ and $2 b$ .

$7 b - c + 3 c + 4 c - 3 a$

Step 5

Add $- c$ and $3 c$ .

$7 b + 2 c + 4 c - 3 a$

Step 6

Add $2 c$ and $4 c$ .

$7 b + 6 c - 3 a$

Step 7

Simplify the expression.

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Step 7.1

Move $6 c$ .

$7 b - 3 a + 6 c$

Step 7.2

Reorder $7 b$ and $- 3 a$ .

$- 3 a + 7 b + 6 c$