Algebra Examples

$- (3 x + 8 - (- 15 + 6 x - (- 3 x + 2) - (5 x + 4)) - 29) = - 5$

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.

$- (3 x + 8 - (- 15 + 6 x - (- 3 x) - 1 \cdot 2 - (5 x + 4)) - 29) = - 5$

Step 1.1.2

Multiply $- 3$ by $- 1$ .

$- (3 x + 8 - (- 15 + 6 x + 3 x - 1 \cdot 2 - (5 x + 4)) - 29) = - 5$

Step 1.1.3

Multiply $- 1$ by $2$ .

$- (3 x + 8 - (- 15 + 6 x + 3 x - 2 - (5 x + 4)) - 29) = - 5$

Step 1.1.4

Apply the distributive property.

$- (3 x + 8 - (- 15 + 6 x + 3 x - 2 - (5 x) - 1 \cdot 4) - 29) = - 5$

Step 1.1.5

Multiply $5$ by $- 1$ .

$- (3 x + 8 - (- 15 + 6 x + 3 x - 2 - 5 x - 1 \cdot 4) - 29) = - 5$

Step 1.1.6

Multiply $- 1$ by $4$ .

$- (3 x + 8 - (- 15 + 6 x + 3 x - 2 - 5 x - 4) - 29) = - 5$

Step 1.2

Subtract $2$ from $- 15$ .

$- (3 x + 8 - (6 x + 3 x - 17 - 5 x - 4) - 29) = - 5$

Step 1.3

Add $6 x$ and $3 x$ .

$- (3 x + 8 - (9 x - 17 - 5 x - 4) - 29) = - 5$

Step 1.4

Subtract $5 x$ from $9 x$ .

$- (3 x + 8 - (4 x - 17 - 4) - 29) = - 5$

Step 1.5

Subtract $4$ from $- 17$ .

$- (3 x + 8 - (4 x - 21) - 29) = - 5$

Step 1.6

Apply the distributive property.

$- (3 x + 8 - (4 x) - - 21 - 29) = - 5$

Step 1.7

Multiply $4$ by $- 1$ .

$- (3 x + 8 - 4 x - - 21 - 29) = - 5$

Step 1.8

Multiply $- 1$ by $- 21$ .

$- (3 x + 8 - 4 x + 21 - 29) = - 5$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $4 x$ from $3 x$ .

$- (- x + 8 + 21 - 29) = - 5$

Step 2.2

Add $8$ and $21$ .

$- (- x + 29 - 29) = - 5$

Step 2.3

Combine the opposite terms in $- x + 29 - 29$ .

Tap for more steps...

Step 2.3.1

Subtract $29$ from $29$ .

$- (- x + 0) = - 5$

Step 2.3.2

Add $- x$ and $0$ .

$- - x = - 5$

Step 3

Multiply $- - x$ .

Tap for more steps...

Step 3.1

Multiply $- 1$ by $- 1$ .

$1 x = - 5$

Step 3.2

Multiply $x$ by $1$ .

$x = - 5$