Solve for x 24+8x=8(5x+8)+8x

$24 + 8 x = 8 (5 x + 8) + 8 x$

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.

$8 (5 x + 8) + 8 x = 24 + 8 x$

Step 2

Simplify $8 (5 x + 8) + 8 x$ .

Simplify each term.

Apply the distributive property.

$8 (5 x) + 8 \cdot 8 + 8 x = 24 + 8 x$

Multiply $5$ by $8$ .

$40 x + 8 \cdot 8 + 8 x = 24 + 8 x$

Multiply $8$ by $8$ .

$40 x + 64 + 8 x = 24 + 8 x$

Add $40 x$ and $8 x$ .

$48 x + 64 = 24 + 8 x$

Step 3

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

Subtract $8 x$ from both sides of the equation.

$48 x + 64 - 8 x = 24$

Subtract $8 x$ from $48 x$ .

$40 x + 64 = 24$

Step 4

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

Subtract $64$ from both sides of the equation.

$40 x = 24 - 64$

Subtract $64$ from $24$ .

$40 x = - 40$

Step 5

Divide each term in $40 x = - 40$ by $40$ and simplify.

Divide each term in $40 x = - 40$ by $40$ .

$\frac{40 x}{40} = \frac{- 40}{40}$

Simplify the left side.

Cancel the common factor of $40$ .

Cancel the common factor.

$\frac{40 x}{40} = \frac{- 40}{40}$

Divide $x$ by $1$ .

$x = \frac{- 40}{40}$

Simplify the right side.

Divide $- 40$ by $40$ .

$x = - 1$