Basic Math Examples

$k - 1 = \frac{k + 3}{2}$

Step 1

Multiply both sides by $2$ .

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

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $(k - 1) \cdot 2$ .

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Step 2.1.1.1

Apply the distributive property.

$k \cdot 2 - 1 \cdot 2 = \frac{k + 3}{2} \cdot 2$

Step 2.1.1.2

Simplify the expression.

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Step 2.1.1.2.1

Move $2$ to the left of $k$ .

$2 \cdot k - 1 \cdot 2 = \frac{k + 3}{2} \cdot 2$

Step 2.1.1.2.2

Multiply $- 1$ by $2$ .

$2 k - 2 = \frac{k + 3}{2} \cdot 2$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$2 k - 2 = \frac{k + 3}{2} \cdot 2$

Step 2.2.1.2

Rewrite the expression.

$2 k - 2 = k + 3$

Step 3

Solve for $k$ .

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Step 3.1

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

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Step 3.1.1

Subtract $k$ from both sides of the equation.

$2 k - 2 - k = 3$

Step 3.1.2

Subtract $k$ from $2 k$ .

$k - 2 = 3$

Step 3.2

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

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Step 3.2.1

Add $2$ to both sides of the equation.

$k = 3 + 2$

Step 3.2.2

Add $3$ and $2$ .

$k = 5$