Solve by Factoring 7x-4=-2x+1+9x-5

$7 x - 4 = - 2 x + 1 + 9 x - 5$

Step 1

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

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

$7 x - 4 + 2 x = 1 + 9 x - 5$

Subtract $1$ from both sides of the equation.

$7 x - 4 + 2 x - 1 = 9 x - 5$

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

$7 x - 4 + 2 x - 1 - 9 x = - 5$

Add $5$ to both sides of the equation.

$7 x - 4 + 2 x - 1 - 9 x + 5 = 0$

Step 2

Simplify $7 x - 4 + 2 x - 1 - 9 x + 5$ .

Add $7 x$ and $2 x$ .

$9 x - 4 - 1 - 9 x + 5 = 0$

Combine the opposite terms in $9 x - 4 - 1 - 9 x + 5$ .

Subtract $9 x$ from $9 x$ .

$0 - 4 - 1 + 5 = 0$

Subtract $4$ from $0$ .

$- 4 - 1 + 5 = 0$

Subtract $1$ from $- 4$ .

$- 5 + 5 = 0$

Add $- 5$ and $5$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true