Basic Math Examples

$4 (\frac{3 m}{5}) - 2 m - 8 = 0$

Step 1

Simplify $4 (\frac{3 m}{5}) - 2 m - 8$ .

Tap for more steps...

Step 1.1

Multiply $4 (\frac{3 m}{5})$ .

Tap for more steps...

Step 1.1.1

Combine $4$ and $\frac{3 m}{5}$ .

$\frac{4 (3 m)}{5} - 2 m - 8 = 0$

Step 1.1.2

Multiply $3$ by $4$ .

$\frac{12 m}{5} - 2 m - 8 = 0$

Step 1.2

To write $- 2 m$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{12 m}{5} - 2 m \cdot \frac{5}{5} - 8 = 0$

Step 1.3

Simplify terms.

Tap for more steps...

Step 1.3.1

Combine $- 2 m$ and $\frac{5}{5}$ .

$\frac{12 m}{5} + \frac{- 2 m \cdot 5}{5} - 8 = 0$

Step 1.3.2

Combine the numerators over the common denominator.

$\frac{12 m - 2 m \cdot 5}{5} - 8 = 0$

Step 1.4

Simplify the numerator.

Tap for more steps...

Step 1.4.1

Factor $2 m$ out of $12 m - 2 m \cdot 5$ .

Tap for more steps...

Step 1.4.1.1

Factor $2 m$ out of $12 m$ .

$\frac{2 m (6) - 2 m \cdot 5}{5} - 8 = 0$

Step 1.4.1.2

Factor $2 m$ out of $- 2 m \cdot 5$ .

$\frac{2 m (6) + 2 m (- 1 \cdot 5)}{5} - 8 = 0$

Step 1.4.1.3

Factor $2 m$ out of $2 m (6) + 2 m (- 1 \cdot 5)$ .

$\frac{2 m (6 - 1 \cdot 5)}{5} - 8 = 0$

Step 1.4.2

Multiply $- 1$ by $5$ .

$\frac{2 m (6 - 5)}{5} - 8 = 0$

Step 1.4.3

Subtract $5$ from $6$ .

$\frac{2 m \cdot 1}{5} - 8 = 0$

Step 1.4.4

Multiply $2$ by $1$ .

$\frac{2 m}{5} - 8 = 0$

Step 2

Add $8$ to both sides of the equation.

$\frac{2 m}{5} = 8$

Step 3

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} \cdot \frac{2 m}{5} = \frac{5}{2} \cdot 8$

Step 4

Simplify both sides of the equation.

Tap for more steps...

Step 4.1

Simplify the left side.

Tap for more steps...

Step 4.1.1

Simplify $\frac{5}{2} \cdot \frac{2 m}{5}$ .

Tap for more steps...

Step 4.1.1.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 4.1.1.1.1

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 m}{5} = \frac{5}{2} \cdot 8$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{2} (2 m) = \frac{5}{2} \cdot 8$

Step 4.1.1.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.1.1.2.1

Factor $2$ out of $2 m$ .

$\frac{1}{2} (2 (m)) = \frac{5}{2} \cdot 8$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{2} (2 m) = \frac{5}{2} \cdot 8$

Step 4.1.1.2.3

Rewrite the expression.

$m = \frac{5}{2} \cdot 8$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Simplify $\frac{5}{2} \cdot 8$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.2.1.1.1

Factor $2$ out of $8$ .

$m = \frac{5}{2} \cdot (2 (4))$

Step 4.2.1.1.2

Cancel the common factor.

$m = \frac{5}{2} \cdot (2 \cdot 4)$

Step 4.2.1.1.3

Rewrite the expression.

$m = 5 \cdot 4$

Step 4.2.1.2

Multiply $5$ by $4$ .

$m = 20$