Simplify -(7-4x)=9

$- (7 - 4 x) = 9$

Step 1

Simplify $- (7 - 4 x)$ .

Apply the distributive property.

$- 1 \cdot 7 - (- 4 x) = 9$

Multiply.

Multiply $- 1$ by $7$ .

$- 7 - (- 4 x) = 9$

Multiply $- 4$ by $- 1$ .

$- 7 + 4 x = 9$

Step 2

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

Add $7$ to both sides of the equation.

$4 x = 9 + 7$

Add $9$ and $7$ .

$4 x = 16$

Step 3

Divide each term in $4 x = 16$ by $4$ and simplify.

Divide each term in $4 x = 16$ by $4$ .

$\frac{4 x}{4} = \frac{16}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{16}{4}$

Divide $x$ by $1$ .

$x = \frac{16}{4}$

Simplify the right side.

Divide $16$ by $4$ .

$x = 4$