Pre-Algebra Examples

$- 6 (x - 2) + 4 (3 - 6 x) = - 36$

Step 1

Simplify $- 6 (x - 2) + 4 (3 - 6 x)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$- 6 x - 6 \cdot - 2 + 4 (3 - 6 x) = - 36$

Step 1.1.2

Multiply $- 6$ by $- 2$ .

$- 6 x + 12 + 4 (3 - 6 x) = - 36$

Step 1.1.3

Apply the distributive property.

$- 6 x + 12 + 4 \cdot 3 + 4 (- 6 x) = - 36$

Step 1.1.4

Multiply $4$ by $3$ .

$- 6 x + 12 + 12 + 4 (- 6 x) = - 36$

Step 1.1.5

Multiply $- 6$ by $4$ .

$- 6 x + 12 + 12 - 24 x = - 36$

Step 1.2

Simplify by adding terms.

Tap for more steps...

Step 1.2.1

Subtract $24 x$ from $- 6 x$ .

$- 30 x + 12 + 12 = - 36$

Step 1.2.2

Add $12$ and $12$ .

$- 30 x + 24 = - 36$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $24$ from both sides of the equation.

$- 30 x = - 36 - 24$

Step 2.2

Subtract $24$ from $- 36$ .

$- 30 x = - 60$

Step 3

Divide each term in $- 30 x = - 60$ by $- 30$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- 30 x = - 60$ by $- 30$ .

$\frac{- 30 x}{- 30} = \frac{- 60}{- 30}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $- 30$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{- 30 x}{- 30} = \frac{- 60}{- 30}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 60}{- 30}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $- 60$ by $- 30$ .

$x = 2$