Basic Math Examples

$m (3 - x) = 2 - y$

Step 1

Rewrite the equation as $2 - y = m (3 - x)$ .

$2 - y = m (3 - x)$

Step 2

Simplify $m (3 - x)$ .

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Step 2.1

Rewrite.

$2 - y = 0 + 0 + m (3 - x)$

Step 2.2

Simplify by adding zeros.

$2 - y = m (3 - x)$

Step 2.3

Apply the distributive property.

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

Step 2.4

Reorder.

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Step 2.4.1

Move $3$ to the left of $m$ .

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

Step 2.4.2

Rewrite using the commutative property of multiplication.

$2 - y = 3 m - m x$

Step 3

Subtract $2$ from both sides of the equation.

$- y = 3 m - m x - 2$

Step 4

Divide each term in $- y = 3 m - m x - 2$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- y = 3 m - m x - 2$ by $- 1$ .

$\frac{- y}{- 1} = \frac{3 m}{- 1} + \frac{- m x}{- 1} + \frac{- 2}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{3 m}{- 1} + \frac{- m x}{- 1} + \frac{- 2}{- 1}$

Step 4.2.2

Divide $y$ by $1$ .

$y = \frac{3 m}{- 1} + \frac{- m x}{- 1} + \frac{- 2}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Move the negative one from the denominator of $\frac{3 m}{- 1}$ .

$y = - 1 \cdot (3 m) + \frac{- m x}{- 1} + \frac{- 2}{- 1}$

Step 4.3.1.2

Rewrite $- 1 \cdot (3 m)$ as $- (3 m)$ .

$y = - (3 m) + \frac{- m x}{- 1} + \frac{- 2}{- 1}$

Step 4.3.1.3

Multiply $3$ by $- 1$ .

$y = - 3 m + \frac{- m x}{- 1} + \frac{- 2}{- 1}$

Step 4.3.1.4

Dividing two negative values results in a positive value.

$y = - 3 m + \frac{m x}{1} + \frac{- 2}{- 1}$

Step 4.3.1.5

Divide $m x$ by $1$ .

$y = - 3 m + m x + \frac{- 2}{- 1}$

Step 4.3.1.6

Divide $- 2$ by $- 1$ .

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