Solve for x -x-2.9(-3x-7)+5=-(-4.9x+4.8)

$- x - 2.9 (- 3 x - 7) + 5 = - (- 4.9 x + 4.8)$

Simplify $- x - 2.9 (- 3 x - 7) + 5$ .

Simplify each term.

Apply the distributive property.

$- x - 2.9 (- 3 x) - 2.9 \cdot - 7 + 5 = - (- 4.9 x + 4.8)$

Multiply $- 3$ by $- 2.9$ .

$- x + 8.7 x - 2.9 \cdot - 7 + 5 = - (- 4.9 x + 4.8)$

Multiply $- 2.9$ by $- 7$ .

$- x + 8.7 x + 20.3 + 5 = - (- 4.9 x + 4.8)$

Simplify by adding terms.

Add $- x$ and $8.7 x$ .

$7.7 x + 20.3 + 5 = - (- 4.9 x + 4.8)$

Add $20.3$ and $5$ .

$7.7 x + 25.3 = - (- 4.9 x + 4.8)$

Simplify $- (- 4.9 x + 4.8)$ .

Apply the distributive property.

$7.7 x + 25.3 = - (- 4.9 x) - 1 \cdot 4.8$

Multiply.

Multiply $- 4.9$ by $- 1$ .

$7.7 x + 25.3 = 4.9 x - 1 \cdot 4.8$

Multiply $- 1$ by $4.8$ .

$7.7 x + 25.3 = 4.9 x - 4.8$

Move all terms containing $x$ to the left side of the equation.

Subtract $4.9 x$ from both sides of the equation.

$7.7 x + 25.3 - 4.9 x = - 4.8$

Subtract $4.9 x$ from $7.7 x$ .

$2.8 x + 25.3 = - 4.8$

Move all terms not containing $x$ to the right side of the equation.

Subtract $25.3$ from both sides of the equation.

$2.8 x = - 4.8 - 25.3$

Subtract $25.3$ from $- 4.8$ .

$2.8 x = - 30.1$

Divide each term in $2.8 x = - 30.1$ by $2.8$ and simplify.

Divide each term in $2.8 x = - 30.1$ by $2.8$ .

$\frac{2.8 x}{2.8} = \frac{- 30.1}{2.8}$

Simplify the left side.

Cancel the common factor of $2.8$ .

Cancel the common factor.

$\frac{2.8 x}{2.8} = \frac{- 30.1}{2.8}$

Divide $x$ by $1$ .

$x = \frac{- 30.1}{2.8}$

Simplify the right side.

Divide $- 30.1$ by $2.8$ .

$x = - 10.75$