Algebra Examples

$2 + \frac{1}{2} x = y$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $2$ .

$2 (2 + \frac{1}{2} x) = 2 y$

Step 3

Simplify the left side.

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Step 3.1

Simplify $2 (2 + \frac{1}{2} x)$ .

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Step 3.1.1

Combine $\frac{1}{2}$ and $x$ .

$2 (2 + \frac{x}{2}) = 2 y$

Step 3.1.2

Apply the distributive property.

$2 \cdot 2 + 2 \frac{x}{2} = 2 y$

Step 3.1.3

Multiply $2$ by $2$ .

$4 + 2 \frac{x}{2} = 2 y$

Step 3.1.4

Cancel the common factor of $2$ .

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Step 3.1.4.1

Cancel the common factor.

$4 + 2 \frac{x}{2} = 2 y$

Step 3.1.4.2

Rewrite the expression.

$4 + x = 2 y$

Step 4

Move all terms containing variables to the left side of the equation.

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Step 4.1

Subtract $2 y$ from both sides of the equation.

$4 + x - 2 y = 0$

Step 4.2

Move $4$ .

$x - 2 y + 4 = 0$

Step 5

Subtract $4$ from both sides of the equation.

$x - 2 y = - 4$

Step 6