Solve for x 9(8-x)=3x

$9 (8 - x) = 3 x$

Step 1

Simplify $9 (8 - x)$ .

Start simplifying.

$0 + 0 + 9 (8 - x) = 3 x$

Simplify by adding zeros.

$9 (8 - x) = 3 x$

Apply the distributive property.

$9 \cdot 8 + 9 (- x) = 3 x$

Multiply.

Multiply $9$ by $8$ .

$72 + 9 (- x) = 3 x$

Multiply $- 1$ by $9$ .

$72 - 9 x = 3 x$

Step 2

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

Subtract $3 x$ from both sides of the equation.

$72 - 9 x - 3 x = 0$

Subtract $3 x$ from $- 9 x$ .

$72 - 12 x = 0$

Step 3

Subtract $72$ from both sides of the equation.

$- 12 x = - 72$

Step 4

Divide each term in $- 12 x = - 72$ by $- 12$ and simplify.

Divide each term in $- 12 x = - 72$ by $- 12$ .

$\frac{- 12 x}{- 12} = \frac{- 72}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 x}{- 12} = \frac{- 72}{- 12}$

Divide $x$ by $1$ .

$x = \frac{- 72}{- 12}$

Simplify the right side.

Divide $- 72$ by $- 12$ .

$x = 6$