Pre-Algebra Examples

$- \frac{5}{2} \cdot (24 + 6 x) = - 15$

Step 1

Simplify $- \frac{5}{2} \cdot (24 + 6 x)$ .

Tap for more steps...

Step 1.1

Apply the distributive property.

$- \frac{5}{2} \cdot 24 - \frac{5}{2} (6 x) = - 15$

Step 1.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.2.1

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 5}{2} \cdot 24 - \frac{5}{2} (6 x) = - 15$

Step 1.2.2

Factor $2$ out of $24$ .

$\frac{- 5}{2} \cdot (2 (12)) - \frac{5}{2} (6 x) = - 15$

Step 1.2.3

Cancel the common factor.

$\frac{- 5}{2} \cdot (2 \cdot 12) - \frac{5}{2} (6 x) = - 15$

Step 1.2.4

Rewrite the expression.

$- 5 \cdot 12 - \frac{5}{2} (6 x) = - 15$

Step 1.3

Multiply $- 5$ by $12$ .

$- 60 - \frac{5}{2} (6 x) = - 15$

Step 1.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.4.1

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$- 60 + \frac{- 5}{2} (6 x) = - 15$

Step 1.4.2

Factor $2$ out of $6 x$ .

$- 60 + \frac{- 5}{2} (2 (3 x)) = - 15$

Step 1.4.3

Cancel the common factor.

$- 60 + \frac{- 5}{2} (2 (3 x)) = - 15$

Step 1.4.4

Rewrite the expression.

$- 60 - 5 (3 x) = - 15$

Step 1.5

Multiply $3$ by $- 5$ .

$- 60 - 15 x = - 15$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = - 3$

Step 3