Algebra Examples

$7 f + g = 5$ ; for $f$

Step 1

Subtract $g$ from both sides of the equation.

$7 f = 5 - g$

Step 2

Divide each term in $7 f = 5 - g$ by $7$ and simplify.

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Step 2.1

Divide each term in $7 f = 5 - g$ by $7$ .

$\frac{7 f}{7} = \frac{5}{7} + \frac{- g}{7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{7 f}{7} = \frac{5}{7} + \frac{- g}{7}$

Step 2.2.1.2

Divide $f$ by $1$ .

$f = \frac{5}{7} + \frac{- g}{7}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$f = \frac{5}{7} - \frac{g}{7}$