Algebra Examples

$- f x - g = h$

Step 1

Add $g$ to both sides of the equation.

$- f x = h + g$

Step 2

Divide each term in $- f x = h + g$ by $- f$ and simplify.

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Step 2.1

Divide each term in $- f x = h + g$ by $- f$ .

$\frac{- f x}{- f} = \frac{h}{- f} + \frac{g}{- f}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{f x}{f} = \frac{h}{- f} + \frac{g}{- f}$

Step 2.2.2

Cancel the common factor of $f$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{f x}{f} = \frac{h}{- f} + \frac{g}{- f}$

Step 2.2.2.2

Divide $x$ by $1$ .

$x = \frac{h}{- f} + \frac{g}{- f}$

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

Move the negative in front of the fraction.

$x = - \frac{h}{f} + \frac{g}{- f}$

Step 2.3.1.2

Move the negative in front of the fraction.

$x = - \frac{h}{f} - \frac{g}{f}$