Solve for x -0.5+x/0.4=-7

$- 0.5 + \frac{x}{0.4} = - 7$

Step 1

Simplify each term.

Multiply by $1$ .

$- 0.5 + \frac{1 x}{0.4} = - 7$

Factor $0.4$ out of $0.4$ .

$- 0.5 + \frac{1 x}{0.4 (1)} = - 7$

Separate fractions.

$- 0.5 + \frac{1}{0.4} \cdot \frac{x}{1} = - 7$

Divide $1$ by $0.4$ .

$- 0.5 + 2.5 \frac{x}{1} = - 7$

Divide $x$ by $1$ .

$- 0.5 + 2.5 x = - 7$

Step 2

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

Add $0.5$ to both sides of the equation.

$2.5 x = - 7 + 0.5$

Add $- 7$ and $0.5$ .

$2.5 x = - 6.5$

Step 3

Divide each term in $2.5 x = - 6.5$ by $2.5$ and simplify.

Divide each term in $2.5 x = - 6.5$ by $2.5$ .

$\frac{2.5 x}{2.5} = \frac{- 6.5}{2.5}$

Simplify the left side.

Cancel the common factor of $2.5$ .

Cancel the common factor.

$\frac{2.5 x}{2.5} = \frac{- 6.5}{2.5}$

Divide $x$ by $1$ .

$x = \frac{- 6.5}{2.5}$

Simplify the right side.

Divide $- 6.5$ by $2.5$ .

$x = - 2.6$