Solve for x -10+4x-5x=-7-2+8x

$- 10 + 4 x - 5 x = - 7 - 2 + 8 x$

Subtract $5 x$ from $4 x$ .

$- 10 - x = - 7 - 2 + 8 x$

Subtract $2$ from $- 7$ .

$- 10 - x = - 9 + 8 x$

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

Subtract $8 x$ from both sides of the equation.

$- 10 - x - 8 x = - 9$

Subtract $8 x$ from $- x$ .

$- 10 - 9 x = - 9$

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

Add $10$ to both sides of the equation.

$- 9 x = - 9 + 10$

Add $- 9$ and $10$ .

$- 9 x = 1$

Divide each term in $- 9 x = 1$ by $- 9$ and simplify.

Divide each term in $- 9 x = 1$ by $- 9$ .

$\frac{- 9 x}{- 9} = \frac{1}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 x}{- 9} = \frac{1}{- 9}$

Divide $x$ by $1$ .

$x = \frac{1}{- 9}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{1}{9}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{9}$

Decimal Form:

$x = - 0.\overline{1}$