Solve for x -8.5=x/2.5-3

$- 8.5 = \frac{x}{2.5} - 3$

Step 1

Rewrite the equation as $\frac{x}{2.5} - 3 = - 8.5$ .

$\frac{x}{2.5} - 3 = - 8.5$

Step 2

Simplify each term.

Multiply by $1$ .

$\frac{1 x}{2.5} - 3 = - 8.5$

Factor $2.5$ out of $2.5$ .

$\frac{1 x}{2.5 (1)} - 3 = - 8.5$

Separate fractions.

$\frac{1}{2.5} \cdot \frac{x}{1} - 3 = - 8.5$

Divide $1$ by $2.5$ .

$0.4 \frac{x}{1} - 3 = - 8.5$

Divide $x$ by $1$ .

$0.4 x - 3 = - 8.5$

Step 3

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

Add $3$ to both sides of the equation.

$0.4 x = - 8.5 + 3$

Add $- 8.5$ and $3$ .

$0.4 x = - 5.5$

Step 4

Divide each term in $0.4 x = - 5.5$ by $0.4$ and simplify.

Divide each term in $0.4 x = - 5.5$ by $0.4$ .

$\frac{0.4 x}{0.4} = \frac{- 5.5}{0.4}$

Simplify the left side.

Cancel the common factor of $0.4$ .

Cancel the common factor.

$\frac{0.4 x}{0.4} = \frac{- 5.5}{0.4}$

Divide $x$ by $1$ .

$x = \frac{- 5.5}{0.4}$

Simplify the right side.

Divide $- 5.5$ by $0.4$ .

$x = - 13.75$