Precalculus Examples

$3 - | 2 x - 1 | = 6$

Step 1

Move all terms not containing $| 2 x - 1 |$ to the right side of the equation.

Tap for more steps...

Step 1.1

Subtract $3$ from both sides of the equation.

$- | 2 x - 1 | = 6 - 3$

Step 1.2

Subtract $3$ from $6$ .

$- | 2 x - 1 | = 3$

Step 2

Divide each term in $- | 2 x - 1 | = 3$ by $- 1$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- | 2 x - 1 | = 3$ by $- 1$ .

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

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Dividing two negative values results in a positive value.

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

Step 2.2.2

Divide $| 2 x - 1 |$ by $1$ .

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

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Divide $3$ by $- 1$ .

$| 2 x - 1 | = - 3$

Step 3

There is no value of $x$ that makes the equation be true since an absolute value can never be negative.

No solution