Linear Algebra Examples

$0.125 = 1 - 0.25 x$

Step 1

Rewrite the equation as $1 - 0.25 x = 0.125$ .

$1 - 0.25 x = 0.125$

Step 2

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

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Step 2.1

Subtract $1$ from both sides of the equation.

$- 0.25 x = 0.125 - 1$

Step 2.2

Subtract $1$ from $0.125$ .

$- 0.25 x = - 0.875$

Step 3

Divide each term in $- 0.25 x = - 0.875$ by $- 0.25$ and simplify.

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Step 3.1

Divide each term in $- 0.25 x = - 0.875$ by $- 0.25$ .

$\frac{- 0.25 x}{- 0.25} = \frac{- 0.875}{- 0.25}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 0.25$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 0.25 x}{- 0.25} = \frac{- 0.875}{- 0.25}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 0.875}{- 0.25}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 0.875$ by $- 0.25$ .

$x = 3.5$