Algebra Examples

$m = y + \frac{x - 3}{2}$

Step 1

Rewrite the equation as $y + \frac{x - 3}{2} = m$ .

$y + \frac{x - 3}{2} = m$

Step 2

Simplify $y + \frac{x - 3}{2}$ .

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Step 2.1

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

$y \cdot \frac{2}{2} + \frac{x - 3}{2} = m$

Step 2.2

Simplify terms.

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Step 2.2.1

Combine $y$ and $\frac{2}{2}$ .

$\frac{y \cdot 2}{2} + \frac{x - 3}{2} = m$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{y \cdot 2 + x - 3}{2} = m$

Step 2.3

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

$\frac{2 y + x - 3}{2} = m$

Step 3

Multiply both sides by $2$ .

$\frac{2 y + x - 3}{2} \cdot 2 = m \cdot 2$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{2 y + x - 3}{2} \cdot 2$ .

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Step 4.1.1.1

Cancel the common factor of $2$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{2 y + x - 3}{2} \cdot 2 = m \cdot 2$

Step 4.1.1.1.2

Rewrite the expression.

$2 y + x - 3 = m \cdot 2$

Step 4.1.1.2

Reorder $2 y$ and $x$ .

$x + 2 y - 3 = m \cdot 2$

Step 4.2

Simplify the right side.

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Step 4.2.1

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

$x + 2 y - 3 = 2 m$

Step 5

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

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Step 5.1

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

$x - 3 = 2 m - 2 y$

Step 5.2

Add $3$ to both sides of the equation.

$x = 2 m - 2 y + 3$