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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $- 3$ by $- 1$ .

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

Multiply $- 1$ by $2$ .

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

Apply the distributive property.

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

Multiply $5$ by $- 1$ .

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

Multiply $- 1$ by $4$ .

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

Subtract $2$ from $- 15$ .

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

Add $6 x$ and $3 x$ .

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

Subtract $5 x$ from $9 x$ .

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

Subtract $4$ from $- 17$ .

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

Apply the distributive property.

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

Multiply $4$ by $- 1$ .

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

Multiply $- 1$ by $- 21$ .

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

Step 2

Simplify by adding terms.

Subtract $4 x$ from $3 x$ .

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

Add $8$ and $21$ .

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

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

Subtract $29$ from $29$ .

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

Add $- x$ and $0$ .

$- - x = - 5$

Step 3

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x = - 5$

Multiply $x$ by $1$ .

$x = - 5$

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

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