Evaluate 3x+2(4x-4)=3

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

Step 1

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

Simplify each term.

Apply the distributive property.

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

Multiply $4$ by $2$ .

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

Multiply $2$ by $- 4$ .

$3 x + 8 x - 8 = 3$

Add $3 x$ and $8 x$ .

$11 x - 8 = 3$

Step 2

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

Add $8$ to both sides of the equation.

$11 x = 3 + 8$

Add $3$ and $8$ .

$11 x = 11$

Step 3

Divide each term in $11 x = 11$ by $11$ and simplify.

Divide each term in $11 x = 11$ by $11$ .

$\frac{11 x}{11} = \frac{11}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 x}{11} = \frac{11}{11}$

Divide $x$ by $1$ .

$x = \frac{11}{11}$

Simplify the right side.

Divide $11$ by $11$ .

$x = 1$