Solve for x 12(x-6)=2(x-9)

$12 (x - 6) = 2 (x - 9)$

Step 1

Simplify $12 (x - 6)$ .

Rewrite.

$0 + 0 + 12 (x - 6) = 2 (x - 9)$

Simplify by adding zeros.

$12 (x - 6) = 2 (x - 9)$

Apply the distributive property.

$12 x + 12 \cdot - 6 = 2 (x - 9)$

Multiply $12$ by $- 6$ .

$12 x - 72 = 2 (x - 9)$

Step 2

Simplify $2 (x - 9)$ .

Apply the distributive property.

$12 x - 72 = 2 x + 2 \cdot - 9$

Multiply $2$ by $- 9$ .

$12 x - 72 = 2 x - 18$

Step 3

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

Subtract $2 x$ from both sides of the equation.

$12 x - 72 - 2 x = - 18$

Subtract $2 x$ from $12 x$ .

$10 x - 72 = - 18$

Step 4

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

Add $72$ to both sides of the equation.

$10 x = - 18 + 72$

Add $- 18$ and $72$ .

$10 x = 54$

Step 5

Divide each term in $10 x = 54$ by $10$ and simplify.

Divide each term in $10 x = 54$ by $10$ .

$\frac{10 x}{10} = \frac{54}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{54}{10}$

Divide $x$ by $1$ .

$x = \frac{54}{10}$

Simplify the right side.

Cancel the common factor of $54$ and $10$ .

Factor $2$ out of $54$ .

$x = \frac{2 (27)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$x = \frac{2 \cdot 27}{2 \cdot 5}$

Cancel the common factor.

$x = \frac{2 \cdot 27}{2 \cdot 5}$

Rewrite the expression.

$x = \frac{27}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{27}{5}$

Decimal Form:

$x = 5.4$

Mixed Number Form:

$x = 5 \frac{2}{5}$

Solve for x 12(x-6)=2(x-9)

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