Write in Standard Form -1/2x=y+3

$- \frac{1}{2} x = y + 3$

The standard form of a linear equation is $A x + B y = C$ .

Multiply both sides by $2$ .

$2 (- \frac{1}{2} x) = 2 (y + 3)$

Simplify the left side.

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

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

$2 (- \frac{x}{2}) = 2 (y + 3)$

Cancel the common factor of $2$ .

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

$2 \frac{- x}{2} = 2 (y + 3)$

Cancel the common factor.

$2 \frac{- x}{2} = 2 (y + 3)$

Rewrite the expression.

$- x = 2 (y + 3)$

Simplify the right side.

Simplify $2 (y + 3)$ .

Apply the distributive property.

$- x = 2 y + 2 \cdot 3$

Multiply $2$ by $3$ .

$- x = 2 y + 6$

Rewrite the equation.

$2 y + 6 = - x$

Move all terms containing variables to the left side of the equation.

Add $x$ to both sides of the equation.

$2 y + 6 + x = 0$

Move $6$ .

$2 y + x + 6 = 0$

Reorder $2 y$ and $x$ .

$x + 2 y + 6 = 0$

Subtract $6$ from both sides of the equation.

$x + 2 y = - 6$