Basic Math Examples

$\frac{(3 k - 11) \cdot 1}{2} = \frac{(5 - k) \cdot 1}{2}$

Step 1

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$(3 k - 11) \cdot 1 = (5 - k) \cdot 1$

Step 2

Multiply $3 k - 11$ by $1$ .

$3 k - 11 = (5 - k) \cdot 1$

Step 3

Multiply $5 - k$ by $1$ .

$3 k - 11 = 5 - k$

Step 4

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

Tap for more steps...

Step 4.1

Add $k$ to both sides of the equation.

$3 k - 11 + k = 5$

Step 4.2

Add $3 k$ and $k$ .

$4 k - 11 = 5$

Step 5

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

Tap for more steps...

Step 5.1

Add $11$ to both sides of the equation.

$4 k = 5 + 11$

Step 5.2

Add $5$ and $11$ .

$4 k = 16$

Step 6

Divide each term in $4 k = 16$ by $4$ and simplify.

Tap for more steps...

Step 6.1

Divide each term in $4 k = 16$ by $4$ .

$\frac{4 k}{4} = \frac{16}{4}$

Step 6.2

Simplify the left side.

Tap for more steps...

Step 6.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 6.2.1.1

Cancel the common factor.

$\frac{4 k}{4} = \frac{16}{4}$

Step 6.2.1.2

Divide $k$ by $1$ .

$k = \frac{16}{4}$

Step 6.3

Simplify the right side.

Tap for more steps...

Step 6.3.1

Divide $16$ by $4$ .

$k = 4$