Pre-Algebra Examples

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

Step 1

Multiply both sides of the equation by $4$ .

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

Step 2

Simplify both sides of the equation.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.1.1.1

Cancel the common factor.

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

Step 2.1.1.2

Rewrite the expression.

$x - 2 = 4 \cdot - 5$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Multiply $4$ by $- 5$ .

$x - 2 = - 20$

Step 3

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

Tap for more steps...

Step 3.1

Add $2$ to both sides of the equation.

$x = - 20 + 2$

Step 3.2

Add $- 20$ and $2$ .

$x = - 18$