Solve for x 1/2x+3=1

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

Step 1

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

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

Step 2

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

Subtract $3$ from both sides of the equation.

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

Subtract $3$ from $1$ .

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

Step 3

Multiply both sides of the equation by $2$ .

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

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$x = 2 \cdot - 2$

Simplify the right side.

Multiply $2$ by $- 2$ .

$x = - 4$