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

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

Step 1

Simplify $8 (4 x + 8)$ .

Rewrite.

$0 + 0 + 8 (4 x + 8) = - (x - 2)$

Simplify by adding zeros.

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

Apply the distributive property.

$8 (4 x) + 8 \cdot 8 = - (x - 2)$

Multiply.

Multiply $4$ by $8$ .

$32 x + 8 \cdot 8 = - (x - 2)$

Multiply $8$ by $8$ .

$32 x + 64 = - (x - 2)$

Step 2

Simplify $- (x - 2)$ .

Apply the distributive property.

$32 x + 64 = - x - - 2$

Multiply $- 1$ by $- 2$ .

$32 x + 64 = - x + 2$

Step 3

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

Add $x$ to both sides of the equation.

$32 x + 64 + x = 2$

Add $32 x$ and $x$ .

$33 x + 64 = 2$

Step 4

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

Subtract $64$ from both sides of the equation.

$33 x = 2 - 64$

Subtract $64$ from $2$ .

$33 x = - 62$

Step 5

Divide each term in $33 x = - 62$ by $33$ and simplify.

Divide each term in $33 x = - 62$ by $33$ .

$\frac{33 x}{33} = \frac{- 62}{33}$

Simplify the left side.

Cancel the common factor of $33$ .

Cancel the common factor.

$\frac{33 x}{33} = \frac{- 62}{33}$

Divide $x$ by $1$ .

$x = \frac{- 62}{33}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{62}{33}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{62}{33}$

Decimal Form:

$x = - 1.\overline{87}$

Mixed Number Form:

$x = - 1 \frac{29}{33}$

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

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