Solve for x 8(x+1)=3-2(8x+4)

$8 (x + 1) = 3 - 2 (8 x + 4)$

Step 1

Simplify $8 (x + 1)$ .

Rewrite.

$0 + 0 + 8 (x + 1) = 3 - 2 (8 x + 4)$

Simplify by adding zeros.

$8 (x + 1) = 3 - 2 (8 x + 4)$

Apply the distributive property.

$8 x + 8 \cdot 1 = 3 - 2 (8 x + 4)$

Multiply $8$ by $1$ .

$8 x + 8 = 3 - 2 (8 x + 4)$

Step 2

Simplify $3 - 2 (8 x + 4)$ .

Simplify each term.

Apply the distributive property.

$8 x + 8 = 3 - 2 (8 x) - 2 \cdot 4$

Multiply $8$ by $- 2$ .

$8 x + 8 = 3 - 16 x - 2 \cdot 4$

Multiply $- 2$ by $4$ .

$8 x + 8 = 3 - 16 x - 8$

Subtract $8$ from $3$ .

$8 x + 8 = - 16 x - 5$

Step 3

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

Add $16 x$ to both sides of the equation.

$8 x + 8 + 16 x = - 5$

Add $8 x$ and $16 x$ .

$24 x + 8 = - 5$

Step 4

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

Subtract $8$ from both sides of the equation.

$24 x = - 5 - 8$

Subtract $8$ from $- 5$ .

$24 x = - 13$

Step 5

Divide each term in $24 x = - 13$ by $24$ and simplify.

Divide each term in $24 x = - 13$ by $24$ .

$\frac{24 x}{24} = \frac{- 13}{24}$

Simplify the left side.

Cancel the common factor of $24$ .

Cancel the common factor.

$\frac{24 x}{24} = \frac{- 13}{24}$

Divide $x$ by $1$ .

$x = \frac{- 13}{24}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{13}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{13}{24}$

Decimal Form:

$x = - 0.541\overline{6}$

Solve for x 8(x+1)=3-2(8x+4)

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