Algebra Examples

$- 12 (x - 12) = - 9 (1 + 7 x)$

Step 1

Simplify $- 12 (x - 12)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 - 12 (x - 12) = - 9 (1 + 7 x)$

Step 1.2

Simplify by adding zeros.

$- 12 (x - 12) = - 9 (1 + 7 x)$

Step 1.3

Apply the distributive property.

$- 12 x - 12 \cdot - 12 = - 9 (1 + 7 x)$

Step 1.4

Multiply $- 12$ by $- 12$ .

$- 12 x + 144 = - 9 (1 + 7 x)$

Step 2

Simplify $- 9 (1 + 7 x)$ .

Tap for more steps...

Step 2.1

Apply the distributive property.

$- 12 x + 144 = - 9 \cdot 1 - 9 (7 x)$

Step 2.2

Multiply.

Tap for more steps...

Step 2.2.1

Multiply $- 9$ by $1$ .

$- 12 x + 144 = - 9 - 9 (7 x)$

Step 2.2.2

Multiply $7$ by $- 9$ .

$- 12 x + 144 = - 9 - 63 x$

Step 3

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

Tap for more steps...

Step 3.1

Add $63 x$ to both sides of the equation.

$- 12 x + 144 + 63 x = - 9$

Step 3.2

Add $- 12 x$ and $63 x$ .

$51 x + 144 = - 9$

Step 4

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

Tap for more steps...

Step 4.1

Subtract $144$ from both sides of the equation.

$51 x = - 9 - 144$

Step 4.2

Subtract $144$ from $- 9$ .

$51 x = - 153$

Step 5

Divide each term in $51 x = - 153$ by $51$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $51 x = - 153$ by $51$ .

$\frac{51 x}{51} = \frac{- 153}{51}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $51$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{51 x}{51} = \frac{- 153}{51}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 153}{51}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Divide $- 153$ by $51$ .

$x = - 3$