Algebra Examples

$- (x + \frac{1}{2}) - \frac{5}{2} = - 18$

Step 1

Simplify $- (x + \frac{1}{2}) - \frac{5}{2}$ .

Tap for more steps...

Step 1.1

Apply the distributive property.

$- x - \frac{1}{2} - \frac{5}{2} = - 18$

Step 1.2

Combine the numerators over the common denominator.

$- x + \frac{- 1 - 5}{2} = - 18$

Step 1.3

Simplify the expression.

Tap for more steps...

Step 1.3.1

Subtract $5$ from $- 1$ .

$- x + \frac{- 6}{2} = - 18$

Step 1.3.2

Divide $- 6$ by $2$ .

$- x - 3 = - 18$

Step 2

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

Tap for more steps...

Step 2.1

Add $3$ to both sides of the equation.

$- x = - 18 + 3$

Step 2.2

Add $- 18$ and $3$ .

$- x = - 15$

Step 3

Divide each term in $- x = - 15$ by $- 1$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- x = - 15$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 15}{- 1}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 15}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{- 15}{- 1}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $- 15$ by $- 1$ .

$x = 15$