Solve for x -x-6+4x=-10-5x-7

$- x - 6 + 4 x = - 10 - 5 x - 7$

Add $- x$ and $4 x$ .

$3 x - 6 = - 10 - 5 x - 7$

Subtract $7$ from $- 10$ .

$3 x - 6 = - 5 x - 17$

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

Add $5 x$ to both sides of the equation.

$3 x - 6 + 5 x = - 17$

Add $3 x$ and $5 x$ .

$8 x - 6 = - 17$

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

Add $6$ to both sides of the equation.

$8 x = - 17 + 6$

Add $- 17$ and $6$ .

$8 x = - 11$

Divide each term in $8 x = - 11$ by $8$ and simplify.

Divide each term in $8 x = - 11$ by $8$ .

$\frac{8 x}{8} = \frac{- 11}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 11}{8}$

Divide $x$ by $1$ .

$x = \frac{- 11}{8}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{11}{8}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{8}$

Decimal Form:

$x = - 1.375$

Mixed Number Form:

$x = - 1 \frac{3}{8}$