Algebra Examples

$12 = w - | - 7 |$

Step 1

Rewrite the equation as $w - | - 7 | = 12$ .

$w - | - 7 | = 12$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

The absolute value is the distance between a number and zero. The distance between $- 7$ and $0$ is $7$ .

$w - 1 \cdot 7 = 12$

Step 2.2

Multiply $- 1$ by $7$ .

$w - 7 = 12$

Step 3

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

Tap for more steps...

Step 3.1

Add $7$ to both sides of the equation.

$w = 12 + 7$

Step 3.2

Add $12$ and $7$ .

$w = 19$