Algebra Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $3$ by $- 1$ .

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

Step 1.1.3

Multiply $- 2$ by $- 1$ .

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

Step 1.1.4

Apply the distributive property.

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

Step 1.1.5

Simplify.

Tap for more steps...

Step 1.1.5.1

Multiply $- 2$ by $- 1$ .

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

Step 1.1.5.2

Multiply $- - c$ .

Tap for more steps...

Step 1.1.5.2.1

Multiply $- 1$ by $- 1$ .

$a - (5 b - (a - 3 b + 2 c + c - a + 2 b + 1 c))$

Step 1.1.5.2.2

Multiply $c$ by $1$ .

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

Step 1.2

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

Tap for more steps...

Step 1.2.1

Subtract $a$ from $a$ .

$a - (5 b - (- 3 b + 2 c + c + 0 + 2 b + c))$

Step 1.2.2

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

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

Step 1.3

Add $- 3 b$ and $2 b$ .

$a - (5 b - (- b + 2 c + c + c))$

Step 1.4

Add $2 c$ and $c$ .

$a - (5 b - (- b + 3 c + c))$

Step 1.5

Add $3 c$ and $c$ .

$a - (5 b - (- b + 4 c))$

Step 1.6

Apply the distributive property.

$a - (5 b - - b - (4 c))$

Step 1.7

Multiply $- - b$ .

Tap for more steps...

Step 1.7.1

Multiply $- 1$ by $- 1$ .

$a - (5 b + 1 b - (4 c))$

Step 1.7.2

Multiply $b$ by $1$ .

$a - (5 b + b - (4 c))$

Step 1.8

Multiply $4$ by $- 1$ .

$a - (5 b + b - 4 c)$

Step 2

Add $5 b$ and $b$ .

$a - (6 b - 4 c)$

Step 3

Apply the distributive property.

$a - (6 b) - (- 4 c)$

Step 4

Multiply $6$ by $- 1$ .

$a - 6 b - (- 4 c)$

Step 5

Multiply $- 4$ by $- 1$ .

$a - 6 b + 4 c$