Linear Algebra Examples

$0.1 = 3.3 - x$

Step 1

Rewrite the equation as $3.3 - x = 0.1$ .

$3.3 - x = 0.1$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Subtract $3.3$ from both sides of the equation.

$- x = 0.1 - 3.3$

Step 2.2

Subtract $3.3$ from $0.1$ .

$- x = - 3.2$

Step 3

Divide each term in $- x = - 3.2$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x = - 3.2$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 3.2}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 3.2}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{- 3.2}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 3.2$ by $- 1$ .

$x = 3.2$

Step 4

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

${x | x = 3.2}$

Step 5