Solve for x -2(x+6)+3=-11x+4(x+4)

$- 2 (x + 6) + 3 = - 11 x + 4 (x + 4)$

Step 1

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

$- 11 x + 4 (x + 4) = - 2 (x + 6) + 3$

Step 2

Simplify $- 11 x + 4 (x + 4)$ .

Simplify each term.

Apply the distributive property.

$- 11 x + 4 x + 4 \cdot 4 = - 2 (x + 6) + 3$

Multiply $4$ by $4$ .

$- 11 x + 4 x + 16 = - 2 (x + 6) + 3$

Add $- 11 x$ and $4 x$ .

$- 7 x + 16 = - 2 (x + 6) + 3$

Step 3

Simplify $- 2 (x + 6) + 3$ .

Simplify each term.

Apply the distributive property.

$- 7 x + 16 = - 2 x - 2 \cdot 6 + 3$

Multiply $- 2$ by $6$ .

$- 7 x + 16 = - 2 x - 12 + 3$

Add $- 12$ and $3$ .

$- 7 x + 16 = - 2 x - 9$

Step 4

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

Add $2 x$ to both sides of the equation.

$- 7 x + 16 + 2 x = - 9$

Add $- 7 x$ and $2 x$ .

$- 5 x + 16 = - 9$

Step 5

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

Subtract $16$ from both sides of the equation.

$- 5 x = - 9 - 16$

Subtract $16$ from $- 9$ .

$- 5 x = - 25$

Step 6

Divide each term in $- 5 x = - 25$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 25$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 25}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 25}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 25}{- 5}$

Simplify the right side.

Divide $- 25$ by $- 5$ .

$x = 5$

Solve for x -2(x+6)+3=-11x+4(x+4)

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