Algebra Examples

$- (- 6 x + 3 y - (8 x - (2 y - 4 x - (2 x - 6 y) + 10 x) - 9 y) + 12 x)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Simplify each term.

Tap for more steps...

Step 1.1.1.1

Apply the distributive property.

$- (- 6 x + 3 y - (8 x - (2 y - 4 x - (2 x) - (- 6 y) + 10 x) - 9 y) + 12 x)$

Step 1.1.1.2

Multiply $2$ by $- 1$ .

$- (- 6 x + 3 y - (8 x - (2 y - 4 x - 2 x - (- 6 y) + 10 x) - 9 y) + 12 x)$

Step 1.1.1.3

Multiply $- 6$ by $- 1$ .

$- (- 6 x + 3 y - (8 x - (2 y - 4 x - 2 x + 6 y + 10 x) - 9 y) + 12 x)$

Step 1.1.2

Add $2 y$ and $6 y$ .

$- (- 6 x + 3 y - (8 x - (- 4 x - 2 x + 8 y + 10 x) - 9 y) + 12 x)$

Step 1.1.3

Subtract $2 x$ from $- 4 x$ .

$- (- 6 x + 3 y - (8 x - (- 6 x + 8 y + 10 x) - 9 y) + 12 x)$

Step 1.1.4

Add $- 6 x$ and $10 x$ .

$- (- 6 x + 3 y - (8 x - (4 x + 8 y) - 9 y) + 12 x)$

Step 1.1.5

Apply the distributive property.

$- (- 6 x + 3 y - (8 x - (4 x) - (8 y) - 9 y) + 12 x)$

Step 1.1.6

Multiply $4$ by $- 1$ .

$- (- 6 x + 3 y - (8 x - 4 x - (8 y) - 9 y) + 12 x)$

Step 1.1.7

Multiply $8$ by $- 1$ .

$- (- 6 x + 3 y - (8 x - 4 x - 8 y - 9 y) + 12 x)$

Step 1.2

Subtract $4 x$ from $8 x$ .

$- (- 6 x + 3 y - (4 x - 8 y - 9 y) + 12 x)$

Step 1.3

Subtract $9 y$ from $- 8 y$ .

$- (- 6 x + 3 y - (4 x - 17 y) + 12 x)$

Step 1.4

Apply the distributive property.

$- (- 6 x + 3 y - (4 x) - (- 17 y) + 12 x)$

Step 1.5

Multiply $4$ by $- 1$ .

$- (- 6 x + 3 y - 4 x - (- 17 y) + 12 x)$

Step 1.6

Multiply $- 17$ by $- 1$ .

$- (- 6 x + 3 y - 4 x + 17 y + 12 x)$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Subtract $4 x$ from $- 6 x$ .

$- (- 10 x + 3 y + 17 y + 12 x)$

Step 2.2

Add $- 10 x$ and $12 x$ .

$- (2 x + 3 y + 17 y)$

Step 2.3

Add $3 y$ and $17 y$ .

$- (2 x + 20 y)$

Step 2.4

Apply the distributive property.

$- (2 x) - (20 y)$

Step 2.5

Multiply.

Tap for more steps...

Step 2.5.1

Multiply $2$ by $- 1$ .

$- 2 x - (20 y)$

Step 2.5.2

Multiply $20$ by $- 1$ .

$- 2 x - 20 y$