Finite Math Examples

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

Step 1

Simplify $\frac{1}{2} x$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + \frac{1}{2} x = - \frac{1}{2} x$

Step 1.2

Simplify by adding zeros.

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

Step 1.3

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

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

Step 2

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

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

Step 3

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

Tap for more steps...

Step 3.1

Add $\frac{x}{2}$ to both sides of the equation.

$\frac{x}{2} + \frac{x}{2} = 0$

Step 3.2

Combine the numerators over the common denominator.

$\frac{x + x}{2} = 0$

Step 3.3

Add $x$ and $x$ .

$\frac{2 x}{2} = 0$

Step 3.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.4.1

Cancel the common factor.

$\frac{2 x}{2} = 0$

Step 3.4.2

Divide $x$ by $1$ .

$x = 0$