Solve by Factoring 5x-9=7x+6-2x

$5 x - 9 = 7 x + 6 - 2 x$

Step 1

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

Subtract $7 x$ from both sides of the equation.

$5 x - 9 - 7 x = 6 - 2 x$

Subtract $6$ from both sides of the equation.

$5 x - 9 - 7 x - 6 = - 2 x$

Add $2 x$ to both sides of the equation.

$5 x - 9 - 7 x - 6 + 2 x = 0$

Step 2

Simplify $5 x - 9 - 7 x - 6 + 2 x$ .

Subtract $7 x$ from $5 x$ .

$- 2 x - 9 - 6 + 2 x = 0$

Combine the opposite terms in $- 2 x - 9 - 6 + 2 x$ .

Add $- 2 x$ and $2 x$ .

$0 - 9 - 6 = 0$

Subtract $9$ from $0$ .

$- 9 - 6 = 0$

Subtract $6$ from $- 9$ .

$- 15 = 0$

Step 3

Since $- 15 \neq 0$ , there are no solutions.

No solution