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

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

Step 1

Simplify $- 2 (1 - 4 x)$ .

Rewrite.

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

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply.

Multiply $- 2$ by $1$ .

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

Multiply $- 4$ by $- 2$ .

$- 2 + 8 x = 3 x + 8$

Step 2

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

Subtract $3 x$ from both sides of the equation.

$- 2 + 8 x - 3 x = 8$

Subtract $3 x$ from $8 x$ .

$- 2 + 5 x = 8$

Step 3

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

Add $2$ to both sides of the equation.

$5 x = 8 + 2$

Add $8$ and $2$ .

$5 x = 10$

Step 4

Divide each term in $5 x = 10$ by $5$ and simplify.

Divide each term in $5 x = 10$ by $5$ .

$\frac{5 x}{5} = \frac{10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{10}{5}$

Divide $x$ by $1$ .

$x = \frac{10}{5}$

Simplify the right side.

Divide $10$ by $5$ .

$x = 2$