Linear Algebra Examples

$5 x = 955 x - 5$

Step 1

Move all terms containing $x$ to the left side of the equation.

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Step 1.1

Subtract $955 x$ from both sides of the equation.

$5 x - 955 x = - 5$

Step 1.2

Subtract $955 x$ from $5 x$ .

$- 950 x = - 5$

Step 2

Divide each term in $- 950 x = - 5$ by $- 950$ and simplify.

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Step 2.1

Divide each term in $- 950 x = - 5$ by $- 950$ .

$\frac{- 950 x}{- 950} = \frac{- 5}{- 950}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 950$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 950 x}{- 950} = \frac{- 5}{- 950}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 5}{- 950}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $- 5$ and $- 950$ .

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Step 2.3.1.1

Factor $- 5$ out of $- 5$ .

$x = \frac{- 5 (1)}{- 950}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $- 5$ out of $- 950$ .

$x = \frac{- 5 \cdot 1}{- 5 \cdot 190}$

Step 2.3.1.2.2

Cancel the common factor.

$x = \frac{- 5 \cdot 1}{- 5 \cdot 190}$

Step 2.3.1.2.3

Rewrite the expression.

$x = \frac{1}{190}$

Step 3

The domain is the set of all valid $x$ values.

${x | x = \frac{1}{190}}$

Step 4