Algebra Examples

$\frac{1}{5} (25 - 5 a) = 4 - a$

Step 1

Simplify $\frac{1}{5} \cdot (25 - 5 a)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + \frac{1}{5} \cdot (25 - 5 a) = 4 - a$

Step 1.2

Simplify by adding zeros.

$\frac{1}{5} \cdot (25 - 5 a) = 4 - a$

Step 1.3

Apply the distributive property.

$\frac{1}{5} \cdot 25 + \frac{1}{5} (- 5 a) = 4 - a$

Step 1.4

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.4.1

Factor $5$ out of $25$ .

$\frac{1}{5} \cdot (5 (5)) + \frac{1}{5} (- 5 a) = 4 - a$

Step 1.4.2

Cancel the common factor.

$\frac{1}{5} \cdot (5 \cdot 5) + \frac{1}{5} (- 5 a) = 4 - a$

Step 1.4.3

Rewrite the expression.

$5 + \frac{1}{5} (- 5 a) = 4 - a$

Step 1.5

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.5.1

Factor $5$ out of $- 5 a$ .

$5 + \frac{1}{5} (5 (- a)) = 4 - a$

Step 1.5.2

Cancel the common factor.

$5 + \frac{1}{5} (5 (- a)) = 4 - a$

Step 1.5.3

Rewrite the expression.

$5 - a = 4 - a$

Step 2

Move all terms containing $a$ to the left side of the equation.

Tap for more steps...

Step 2.1

Add $a$ to both sides of the equation.

$5 - a + a = 4$

Step 2.2

Combine the opposite terms in $5 - a + a$ .

Tap for more steps...

Step 2.2.1

Add $- a$ and $a$ .

$5 + 0 = 4$

Step 2.2.2

Add $5$ and $0$ .

$5 = 4$

Step 3

Since $5 \neq 4$ , there are no solutions.

No solution