Chemistry Examples

$2 x + 2 y + A + B = 360$

Step 1

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

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Step 1.1

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

$2 x + A + B = 360 - 2 y$

Step 1.2

Subtract $A$ from both sides of the equation.

$2 x + B = 360 - 2 y - A$

Step 1.3

Subtract $B$ from both sides of the equation.

$2 x = 360 - 2 y - A - B$

Step 2

Divide each term in $2 x = 360 - 2 y - A - B$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 x = 360 - 2 y - A - B$ by $2$ .

$\frac{2 x}{2} = \frac{360}{2} + \frac{- 2 y}{2} + \frac{- A}{2} + \frac{- B}{2}$

Step 2.2

Simplify the left 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.

$\frac{2 x}{2} = \frac{360}{2} + \frac{- 2 y}{2} + \frac{- A}{2} + \frac{- B}{2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{360}{2} + \frac{- 2 y}{2} + \frac{- A}{2} + \frac{- B}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $360$ by $2$ .

$x = 180 + \frac{- 2 y}{2} + \frac{- A}{2} + \frac{- B}{2}$

Step 2.3.1.2

Cancel the common factor of $- 2$ and $2$ .

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Step 2.3.1.2.1

Factor $2$ out of $- 2 y$ .

$x = 180 + \frac{2 (- y)}{2} + \frac{- A}{2} + \frac{- B}{2}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $2$ out of $2$ .

$x = 180 + \frac{2 (- y)}{2 (1)} + \frac{- A}{2} + \frac{- B}{2}$

Step 2.3.1.2.2.2

Cancel the common factor.

$x = 180 + \frac{2 (- y)}{2 \cdot 1} + \frac{- A}{2} + \frac{- B}{2}$

Step 2.3.1.2.2.3

Rewrite the expression.

$x = 180 + \frac{- y}{1} + \frac{- A}{2} + \frac{- B}{2}$

Step 2.3.1.2.2.4

Divide $- y$ by $1$ .

$x = 180 - y + \frac{- A}{2} + \frac{- B}{2}$

Step 2.3.1.3

Move the negative in front of the fraction.

$x = 180 - y - \frac{A}{2} + \frac{- B}{2}$

Step 2.3.1.4

Move the negative in front of the fraction.

$x = 180 - y - \frac{A}{2} - \frac{B}{2}$