Solve for x 0.5-x/0.1=-33.5

$0.5 - \frac{x}{0.1} = - 33.5$

Simplify each term.

Multiply by $1$ .

$0.5 - \frac{1 x}{0.1} = - 33.5$

Factor $0.1$ out of $0.1$ .

$0.5 - \frac{1 x}{0.1 (1)} = - 33.5$

Separate fractions.

$0.5 - (\frac{1}{0.1} \cdot \frac{x}{1}) = - 33.5$

Divide $1$ by $0.1$ .

$0.5 - (10 \frac{x}{1}) = - 33.5$

Divide $x$ by $1$ .

$0.5 - (10 x) = - 33.5$

Multiply $10$ by $- 1$ .

$0.5 - 10 x = - 33.5$

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

Subtract $0.5$ from both sides of the equation.

$- 10 x = - 33.5 - 0.5$

Subtract $0.5$ from $- 33.5$ .

$- 10 x = - 34$

Divide each term in $- 10 x = - 34$ by $- 10$ and simplify.

Divide each term in $- 10 x = - 34$ by $- 10$ .

$\frac{- 10 x}{- 10} = \frac{- 34}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 x}{- 10} = \frac{- 34}{- 10}$

Divide $x$ by $1$ .

$x = \frac{- 34}{- 10}$

Simplify the right side.

Cancel the common factor of $- 34$ and $- 10$ .

Factor $- 2$ out of $- 34$ .

$x = \frac{- 2 (17)}{- 10}$

Cancel the common factors.

Factor $- 2$ out of $- 10$ .

$x = \frac{- 2 \cdot 17}{- 2 \cdot 5}$

Cancel the common factor.

$x = \frac{- 2 \cdot 17}{- 2 \cdot 5}$

Rewrite the expression.

$x = \frac{17}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{17}{5}$

Decimal Form:

$x = 3.4$

Mixed Number Form:

$x = 3 \frac{2}{5}$

Solve for x 0.5-x/0.1=-33.5

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