Solve for x 9-(7-x)=-5x-1+7x

$9 - (7 - x) = - 5 x - 1 + 7 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 5 x - 1 + 7 x = 9 - (7 - x)$

Step 2

Add $- 5 x$ and $7 x$ .

$2 x - 1 = 9 - (7 - x)$

Step 3

Simplify $9 - (7 - x)$ .

Simplify each term.

Apply the distributive property.

$2 x - 1 = 9 - 1 \cdot 7 - - x$

Multiply $- 1$ by $7$ .

$2 x - 1 = 9 - 7 - - x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$2 x - 1 = 9 - 7 + 1 x$

Multiply $x$ by $1$ .

$2 x - 1 = 9 - 7 + x$

Subtract $7$ from $9$ .

$2 x - 1 = 2 + x$

Step 4

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

Subtract $x$ from both sides of the equation.

$2 x - 1 - x = 2$

Subtract $x$ from $2 x$ .

$x - 1 = 2$

Step 5

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

Add $1$ to both sides of the equation.

$x = 2 + 1$

Add $2$ and $1$ .

$x = 3$