Algebra Examples

$x + a x = b$

Step 1

Factor $x$ out of $x + a x$ .

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Step 1.1

Raise $x$ to the power of $1$ .

$x + a x = b$

Step 1.2

Factor $x$ out of $x^{1}$ .

$x \cdot 1 + a x = b$

Step 1.3

Factor $x$ out of $a x$ .

$x \cdot 1 + x a = b$

Step 1.4

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

$x (1 + a) = b$

Step 2

Divide each term in $x (1 + a) = b$ by $1 + a$ and simplify.

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Step 2.1

Divide each term in $x (1 + a) = b$ by $1 + a$ .

$\frac{x (1 + a)}{1 + a} = \frac{b}{1 + a}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $1 + a$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{x (1 + a)}{1 + a} = \frac{b}{1 + a}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{b}{1 + a}$