Solve for x 8.25=0.5-x/0.4

$8.25 = 0.5 - \frac{x}{0.4}$

Rewrite the equation as $0.5 - \frac{x}{0.4} = 8.25$ .

$0.5 - \frac{x}{0.4} = 8.25$

Simplify each term.

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Multiply by $1$ .

$0.5 - \frac{1 x}{0.4} = 8.25$

Factor $0.4$ out of $0.4$ .

$0.5 - \frac{1 x}{0.4 (1)} = 8.25$

Separate fractions.

$0.5 - (\frac{1}{0.4} \cdot \frac{x}{1}) = 8.25$

Divide $1$ by $0.4$ .

$0.5 - (2.5 \frac{x}{1}) = 8.25$

Divide $x$ by $1$ .

$0.5 - (2.5 x) = 8.25$

Multiply $2.5$ by $- 1$ .

$0.5 - 2.5 x = 8.25$

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

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Subtract $0.5$ from both sides of the equation.

$- 2.5 x = 8.25 - 0.5$

Subtract $0.5$ from $8.25$ .

$- 2.5 x = 7.75$

Divide each term in $- 2.5 x = 7.75$ by $- 2.5$ and simplify.

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Divide each term in $- 2.5 x = 7.75$ by $- 2.5$ .

$\frac{- 2.5 x}{- 2.5} = \frac{7.75}{- 2.5}$

Simplify the left side.

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Cancel the common factor of $- 2.5$ .

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Cancel the common factor.

$\frac{- 2.5 x}{- 2.5} = \frac{7.75}{- 2.5}$

Divide $x$ by $1$ .

$x = \frac{7.75}{- 2.5}$

Simplify the right side.

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Divide $7.75$ by $- 2.5$ .

$x = - 3.1$