Solve for x 2(12-8x)=x-11x

$2 (12 - 8 x) = x - 11 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$x - 11 x = 2 (12 - 8 x)$

Step 2

Subtract $11 x$ from $x$ .

$- 10 x = 2 (12 - 8 x)$

Step 3

Simplify $2 (12 - 8 x)$ .

Apply the distributive property.

$- 10 x = 2 \cdot 12 + 2 (- 8 x)$

Multiply.

Multiply $2$ by $12$ .

$- 10 x = 24 + 2 (- 8 x)$

Multiply $- 8$ by $2$ .

$- 10 x = 24 - 16 x$

Step 4

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

Add $16 x$ to both sides of the equation.

$- 10 x + 16 x = 24$

Add $- 10 x$ and $16 x$ .

$6 x = 24$

Step 5

Divide each term in $6 x = 24$ by $6$ and simplify.

Divide each term in $6 x = 24$ by $6$ .

$\frac{6 x}{6} = \frac{24}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{24}{6}$

Divide $x$ by $1$ .

$x = \frac{24}{6}$

Simplify the right side.

Divide $24$ by $6$ .

$x = 4$