Pre-Algebra Examples

$2 (x - 4) = 3 x$

Step 1

Simplify $2 (x - 4)$ .

Tap for more steps...

Step 1.1

Rewrite.

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

Step 1.2

Simplify by adding zeros.

$2 (x - 4) = 3 x$

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $2$ by $- 4$ .

$2 x - 8 = 3 x$

Step 2

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

Tap for more steps...

Step 2.1

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

$2 x - 8 - 3 x = 0$

Step 2.2

Subtract $3 x$ from $2 x$ .

$- x - 8 = 0$

Step 3

Add $8$ to both sides of the equation.

$- x = 8$

Step 4

Divide each term in $- x = 8$ by $- 1$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $- x = 8$ by $- 1$ .

$\frac{- x}{- 1} = \frac{8}{- 1}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{8}{- 1}$

Step 4.2.2

Divide $x$ by $1$ .

$x = \frac{8}{- 1}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $8$ by $- 1$ .

$x = - 8$