Algebra Examples

$a x - x = c$

Step 1

Factor $x$ out of $a x - x$ .

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Step 1.1

Factor $x$ out of $a x$ .

$x a - x = c$

Step 1.2

Factor $x$ out of $- x$ .

$x a + x \cdot - 1 = c$

Step 1.3

Factor $x$ out of $x a + x \cdot - 1$ .

$x (a - 1) = c$

Step 2

Divide each term in $x (a - 1) = c$ by $a - 1$ and simplify.

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Step 2.1

Divide each term in $x (a - 1) = c$ by $a - 1$ .

$\frac{x (a - 1)}{a - 1} = \frac{c}{a - 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $a - 1$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{x (a - 1)}{a - 1} = \frac{c}{a - 1}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{c}{a - 1}$