Solve for x -2(x-5)+6=4-6(x+5)

$- 2 (x - 5) + 6 = 4 - 6 (x + 5)$

Step 1

Simplify $- 2 (x - 5) + 6$ .

Simplify each term.

Apply the distributive property.

$- 2 x - 2 \cdot - 5 + 6 = 4 - 6 (x + 5)$

Multiply $- 2$ by $- 5$ .

$- 2 x + 10 + 6 = 4 - 6 (x + 5)$

Add $10$ and $6$ .

$- 2 x + 16 = 4 - 6 (x + 5)$

Step 2

Simplify $4 - 6 (x + 5)$ .

Simplify each term.

Apply the distributive property.

$- 2 x + 16 = 4 - 6 x - 6 \cdot 5$

Multiply $- 6$ by $5$ .

$- 2 x + 16 = 4 - 6 x - 30$

Subtract $30$ from $4$ .

$- 2 x + 16 = - 6 x - 26$

Step 3

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

Add $6 x$ to both sides of the equation.

$- 2 x + 16 + 6 x = - 26$

Add $- 2 x$ and $6 x$ .

$4 x + 16 = - 26$

Step 4

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

Subtract $16$ from both sides of the equation.

$4 x = - 26 - 16$

Subtract $16$ from $- 26$ .

$4 x = - 42$

Step 5

Divide each term in $4 x = - 42$ by $4$ and simplify.

Divide each term in $4 x = - 42$ by $4$ .

$\frac{4 x}{4} = \frac{- 42}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 42}{4}$

Divide $x$ by $1$ .

$x = \frac{- 42}{4}$

Simplify the right side.

Cancel the common factor of $- 42$ and $4$ .

Factor $2$ out of $- 42$ .

$x = \frac{2 (- 21)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$x = \frac{2 \cdot - 21}{2 \cdot 2}$

Cancel the common factor.

$x = \frac{2 \cdot - 21}{2 \cdot 2}$

Rewrite the expression.

$x = \frac{- 21}{2}$

Move the negative in front of the fraction.

$x = - \frac{21}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{21}{2}$

Decimal Form:

$x = - 10.5$

Mixed Number Form:

$x = - 10 \frac{1}{2}$

Solve for x -2(x-5)+6=4-6(x+5)

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