Solve for x 5x+2(x+4)=64

$5 x + 2 (x + 4) = 64$

Step 1

Simplify $5 x + 2 (x + 4)$ .

Simplify each term.

Apply the distributive property.

$5 x + 2 x + 2 \cdot 4 = 64$

Multiply $2$ by $4$ .

$5 x + 2 x + 8 = 64$

Add $5 x$ and $2 x$ .

$7 x + 8 = 64$

Step 2

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

Subtract $8$ from both sides of the equation.

$7 x = 64 - 8$

Subtract $8$ from $64$ .

$7 x = 56$

Step 3

Divide each term in $7 x = 56$ by $7$ and simplify.

Divide each term in $7 x = 56$ by $7$ .

$\frac{7 x}{7} = \frac{56}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{56}{7}$

Divide $x$ by $1$ .

$x = \frac{56}{7}$

Simplify the right side.

Divide $56$ by $7$ .

$x = 8$