Solve for x 5-(x-6)=4(3-2x)

$5 - (x - 6) = 4 (3 - 2 x)$

Simplify $5 - (x - 6)$ .

Simplify each term.

Apply the distributive property.

$5 - x - - 6 = 4 (3 - 2 x)$

Multiply $- 1$ by $- 6$ .

$5 - x + 6 = 4 (3 - 2 x)$

Add $5$ and $6$ .

$- x + 11 = 4 (3 - 2 x)$

Simplify $4 (3 - 2 x)$ .

Apply the distributive property.

$- x + 11 = 4 \cdot 3 + 4 (- 2 x)$

Multiply.

Multiply $4$ by $3$ .

$- x + 11 = 12 + 4 (- 2 x)$

Multiply $- 2$ by $4$ .

$- x + 11 = 12 - 8 x$

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

Add $8 x$ to both sides of the equation.

$- x + 11 + 8 x = 12$

Add $- x$ and $8 x$ .

$7 x + 11 = 12$

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

Subtract $11$ from both sides of the equation.

$7 x = 12 - 11$

Subtract $11$ from $12$ .

$7 x = 1$

Divide each term in $7 x = 1$ by $7$ and simplify.

Divide each term in $7 x = 1$ by $7$ .

$\frac{7 x}{7} = \frac{1}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{1}{7}$

Divide $x$ by $1$ .

$x = \frac{1}{7}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{7}$

Decimal Form:

$x = 0.\overline{142857}$