Solve for x 5-1/2(x-6)=4

$5 - \frac{1}{2} (x - 6) = 4$

Simplify $5 - \frac{1}{2} \cdot (x - 6)$ .

Simplify each term.

Apply the distributive property.

$5 - \frac{1}{2} x - \frac{1}{2} \cdot - 6 = 4$

Combine $x$ and $\frac{1}{2}$ .

$5 - \frac{x}{2} - \frac{1}{2} \cdot - 6 = 4$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$5 - \frac{x}{2} + \frac{- 1}{2} \cdot - 6 = 4$

Factor $2$ out of $- 6$ .

$5 - \frac{x}{2} + \frac{- 1}{2} \cdot (2 (- 3)) = 4$

Cancel the common factor.

$5 - \frac{x}{2} + \frac{- 1}{2} \cdot (2 \cdot - 3) = 4$

Rewrite the expression.

$5 - \frac{x}{2} - 1 \cdot - 3 = 4$

Multiply $- 1$ by $- 3$ .

$5 - \frac{x}{2} + 3 = 4$

Add $5$ and $3$ .

$- \frac{x}{2} + 8 = 4$

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

Subtract $8$ from both sides of the equation.

$- \frac{x}{2} = 4 - 8$

Subtract $8$ from $4$ .

$- \frac{x}{2} = - 4$

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{x}{2}) = - 2 \cdot - 4$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{x}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{x}{2}$ into the numerator.

$- 2 \frac{- x}{2} = - 2 \cdot - 4$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- x}{2} = - 2 \cdot - 4$

Cancel the common factor.

$2 \cdot - 1 \frac{- x}{2} = - 2 \cdot - 4$

Rewrite the expression.

$- - x = - 2 \cdot - 4$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 2 \cdot - 4$

Multiply $x$ by $1$ .

$x = - 2 \cdot - 4$

Simplify the right side.

Multiply $- 2$ by $- 4$ .

$x = 8$

Solve for x 5-1/2(x-6)=4

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