Solve for x -6+5x=6x-7

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

Step 1

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

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

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

Subtract $6 x$ from $5 x$ .

$- 6 - x = - 7$

Step 2

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

Add $6$ to both sides of the equation.

$- x = - 7 + 6$

Add $- 7$ and $6$ .

$- x = - 1$

Step 3

Divide each term in $- x = - 1$ by $- 1$ and simplify.

Divide each term in $- x = - 1$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 1}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 1}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 1}{- 1}$

Simplify the right side.

Divide $- 1$ by $- 1$ .

$x = 1$