Solve for x -x=6.8x-4(2.2x-6)-10

$- x = 6.8 x - 4 (2.2 x - 6) - 10$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6.8 x - 4 (2.2 x - 6) - 10 = - x$

Simplify $6.8 x - 4 (2.2 x - 6) - 10$ .

Simplify each term.

Apply the distributive property.

$6.8 x - 4 (2.2 x) - 4 \cdot - 6 - 10 = - x$

Multiply $2.2$ by $- 4$ .

$6.8 x - 8.8 x - 4 \cdot - 6 - 10 = - x$

Multiply $- 4$ by $- 6$ .

$6.8 x - 8.8 x + 24 - 10 = - x$

Simplify by adding terms.

Subtract $8.8 x$ from $6.8 x$ .

$- 2 x + 24 - 10 = - x$

Subtract $10$ from $24$ .

$- 2 x + 14 = - x$

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

Add $x$ to both sides of the equation.

$- 2 x + 14 + x = 0$

Add $- 2 x$ and $x$ .

$- 1 x + 14 = 0$

Subtract $14$ from both sides of the equation.

$- 1 x = - 14$

Divide each term in $- 1 x = - 14$ by $- 1$ and simplify.

Divide each term in $- 1 x = - 14$ by $- 1$ .

$\frac{- 1 x}{- 1} = \frac{- 14}{- 1}$

Simplify the left side.

Cancel the common factor of $- 1$ .

Rewrite $- 1$ as $- 1 (1)$ .

$\frac{- 1 (1) x}{- 1} = \frac{- 14}{- 1}$

Factor $1$ out of $- 1 (1) x$ .

$\frac{1 (- 1 \cdot 1 x)}{- 1} = \frac{- 14}{- 1}$

Move the negative one from the denominator of $\frac{- 1 \cdot 1 x}{- 1}$ .

$- 1 \cdot (- 1 \cdot 1 x) = \frac{- 14}{- 1}$

Simplify the expression.

Rewrite $- 1 \cdot (- 1 \cdot 1 x)$ as $- (- 1 \cdot 1 x)$ .

$- (- 1 \cdot 1 x) = \frac{- 14}{- 1}$

Multiply $- 1$ by $1$ .

$- (- 1 x) = \frac{- 14}{- 1}$

Rewrite $- 1 x$ as $- x$ .

$- - x = \frac{- 14}{- 1}$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x = \frac{- 14}{- 1}$

Multiply $x$ by $1$ .

$x = \frac{- 14}{- 1}$

Simplify the right side.

Divide $- 14$ by $- 1$ .

$x = 14$

Solve for x -x=6.8x-4(2.2x-6)-10

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