Solve for x -5x+40=6x-70

$- 5 x + 40 = 6 x - 70$

Step 1

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

Subtract $6 x$ from both sides of the equation.

$- 5 x + 40 - 6 x = - 70$

Subtract $6 x$ from $- 5 x$ .

$- 11 x + 40 = - 70$

Step 2

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

Subtract $40$ from both sides of the equation.

$- 11 x = - 70 - 40$

Subtract $40$ from $- 70$ .

$- 11 x = - 110$

Step 3

Divide each term in $- 11 x = - 110$ by $- 11$ and simplify.

Divide each term in $- 11 x = - 110$ by $- 11$ .

$\frac{- 11 x}{- 11} = \frac{- 110}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 x}{- 11} = \frac{- 110}{- 11}$

Divide $x$ by $1$ .

$x = \frac{- 110}{- 11}$

Simplify the right side.

Divide $- 110$ by $- 11$ .

$x = 10$