Solve for x -7x-4x=10x+8-11

$- 7 x - 4 x = 10 x + 8 - 11$

Step 1

Subtract $4 x$ from $- 7 x$ .

$- 11 x = 10 x + 8 - 11$

Step 2

Subtract $11$ from $8$ .

$- 11 x = 10 x - 3$

Step 3

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

Subtract $10 x$ from both sides of the equation.

$- 11 x - 10 x = - 3$

Subtract $10 x$ from $- 11 x$ .

$- 21 x = - 3$

Step 4

Divide each term in $- 21 x = - 3$ by $- 21$ and simplify.

Divide each term in $- 21 x = - 3$ by $- 21$ .

$\frac{- 21 x}{- 21} = \frac{- 3}{- 21}$

Simplify the left side.

Cancel the common factor of $- 21$ .

Cancel the common factor.

$\frac{- 21 x}{- 21} = \frac{- 3}{- 21}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 21}$

Simplify the right side.

Cancel the common factor of $- 3$ and $- 21$ .

Factor $- 3$ out of $- 3$ .

$x = \frac{- 3 (1)}{- 21}$

Cancel the common factors.

Factor $- 3$ out of $- 21$ .

$x = \frac{- 3 \cdot 1}{- 3 \cdot 7}$

Cancel the common factor.

$x = \frac{- 3 \cdot 1}{- 3 \cdot 7}$

Rewrite the expression.

$x = \frac{1}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{7}$

Decimal Form:

$x = 0.\overline{142857}$