Solve for x -4x-2(8x+1)=-(-2x-10)

$- 4 x - 2 (8 x + 1) = - (- 2 x - 10)$

Simplify $- 4 x - 2 (8 x + 1)$ .

Simplify each term.

Apply the distributive property.

$- 4 x - 2 (8 x) - 2 \cdot 1 = - (- 2 x - 10)$

Multiply $8$ by $- 2$ .

$- 4 x - 16 x - 2 \cdot 1 = - (- 2 x - 10)$

Multiply $- 2$ by $1$ .

$- 4 x - 16 x - 2 = - (- 2 x - 10)$

Subtract $16 x$ from $- 4 x$ .

$- 20 x - 2 = - (- 2 x - 10)$

Simplify $- (- 2 x - 10)$ .

Apply the distributive property.

$- 20 x - 2 = - (- 2 x) - - 10$

Multiply.

Multiply $- 2$ by $- 1$ .

$- 20 x - 2 = 2 x - - 10$

Multiply $- 1$ by $- 10$ .

$- 20 x - 2 = 2 x + 10$

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

Subtract $2 x$ from both sides of the equation.

$- 20 x - 2 - 2 x = 10$

Subtract $2 x$ from $- 20 x$ .

$- 22 x - 2 = 10$

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

Add $2$ to both sides of the equation.

$- 22 x = 10 + 2$

Add $10$ and $2$ .

$- 22 x = 12$

Divide each term in $- 22 x = 12$ by $- 22$ and simplify.

Divide each term in $- 22 x = 12$ by $- 22$ .

$\frac{- 22 x}{- 22} = \frac{12}{- 22}$

Simplify the left side.

Cancel the common factor of $- 22$ .

Cancel the common factor.

$\frac{- 22 x}{- 22} = \frac{12}{- 22}$

Divide $x$ by $1$ .

$x = \frac{12}{- 22}$

Simplify the right side.

Cancel the common factor of $12$ and $- 22$ .

Factor $2$ out of $12$ .

$x = \frac{2 (6)}{- 22}$

Cancel the common factors.

Factor $2$ out of $- 22$ .

$x = \frac{2 \cdot 6}{2 \cdot - 11}$

Cancel the common factor.

$x = \frac{2 \cdot 6}{2 \cdot - 11}$

Rewrite the expression.

$x = \frac{6}{- 11}$

Move the negative in front of the fraction.

$x = - \frac{6}{11}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{6}{11}$

Decimal Form:

$x = - 0.\overline{54}$

Solve for x -4x-2(8x+1)=-(-2x-10)

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