Algebra Examples

$f (1) = 2 x - 1$

Step 1

Rewrite the equation as $2 x - 1 = f (1)$ .

$2 x - 1 = f (1)$

Step 2

Multiply $f$ by $1$ .

$2 x - 1 = f$

Step 3

Add $1$ to both sides of the equation.

$2 x = f + 1$

Step 4

Divide each term in $2 x = f + 1$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 x = f + 1$ by $2$ .

$\frac{2 x}{2} = \frac{f}{2} + \frac{1}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{f}{2} + \frac{1}{2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{f}{2} + \frac{1}{2}$