Solve by Factoring 9(x-4)=9x-33

$9 (x - 4) = 9 x - 33$

Step 1

Move all the expressions to the left side of the equation.

Subtract $9 x$ from both sides of the equation.

$9 (x - 4) - 9 x = - 33$

Add $33$ to both sides of the equation.

$9 (x - 4) - 9 x + 33 = 0$

Step 2

Simplify $9 (x - 4) - 9 x + 33$ .

Simplify each term.

Apply the distributive property.

$9 x + 9 \cdot - 4 - 9 x + 33 = 0$

Multiply $9$ by $- 4$ .

$9 x - 36 - 9 x + 33 = 0$

Combine the opposite terms in $9 x - 36 - 9 x + 33$ .

Subtract $9 x$ from $9 x$ .

$0 - 36 + 33 = 0$

Subtract $36$ from $0$ .

$- 36 + 33 = 0$

Add $- 36$ and $33$ .

$- 3 = 0$

Step 3

Since $- 3 \neq 0$ , there are no solutions.

No solution