Basic Math Examples

$2 - | 3 z - 18 | = 8$

Step 1

Move all terms not containing $| 3 z - 18 |$ to the right side of the equation.

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Step 1.1

Subtract $2$ from both sides of the equation.

$- | 3 z - 18 | = 8 - 2$

Step 1.2

Subtract $2$ from $8$ .

$- | 3 z - 18 | = 6$

Step 2

Divide each term in $- | 3 z - 18 | = 6$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- | 3 z - 18 | = 6$ by $- 1$ .

$\frac{- | 3 z - 18 |}{- 1} = \frac{6}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{| 3 z - 18 |}{1} = \frac{6}{- 1}$

Step 2.2.2

Divide $| 3 z - 18 |$ by $1$ .

$| 3 z - 18 | = \frac{6}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $6$ by $- 1$ .

$| 3 z - 18 | = - 6$

Step 3

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

No solution