Solve for x -2(x+4)=35-(7-4x)

$- 2 (x + 4) = 35 - (7 - 4 x)$

Step 1

Simplify $- 2 (x + 4)$ .

Rewrite.

$0 + 0 - 2 (x + 4) = 35 - (7 - 4 x)$

Simplify by adding zeros.

$- 2 (x + 4) = 35 - (7 - 4 x)$

Apply the distributive property.

$- 2 x - 2 \cdot 4 = 35 - (7 - 4 x)$

Multiply $- 2$ by $4$ .

$- 2 x - 8 = 35 - (7 - 4 x)$

Step 2

Simplify $35 - (7 - 4 x)$ .

Simplify each term.

Apply the distributive property.

$- 2 x - 8 = 35 - 1 \cdot 7 - (- 4 x)$

Multiply $- 1$ by $7$ .

$- 2 x - 8 = 35 - 7 - (- 4 x)$

Multiply $- 4$ by $- 1$ .

$- 2 x - 8 = 35 - 7 + 4 x$

Subtract $7$ from $35$ .

$- 2 x - 8 = 28 + 4 x$

Step 3

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

Subtract $4 x$ from both sides of the equation.

$- 2 x - 8 - 4 x = 28$

Subtract $4 x$ from $- 2 x$ .

$- 6 x - 8 = 28$

Step 4

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

Add $8$ to both sides of the equation.

$- 6 x = 28 + 8$

Add $28$ and $8$ .

$- 6 x = 36$

Step 5

Divide each term in $- 6 x = 36$ by $- 6$ and simplify.

Divide each term in $- 6 x = 36$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{36}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{36}{- 6}$

Divide $x$ by $1$ .

$x = \frac{36}{- 6}$

Simplify the right side.

Divide $36$ by $- 6$ .

$x = - 6$

Solve for x -2(x+4)=35-(7-4x)

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