Solve for a 1.3-a/0.4=2.8

$1.3 - \frac{a}{0.4} = 2.8$

Step 1

Simplify each term.

Multiply by $1$ .

$1.3 - \frac{1 a}{0.4} = 2.8$

Factor $0.4$ out of $0.4$ .

$1.3 - \frac{1 a}{0.4 (1)} = 2.8$

Separate fractions.

$1.3 - (\frac{1}{0.4} \cdot \frac{a}{1}) = 2.8$

Divide $1$ by $0.4$ .

$1.3 - (2.5 \frac{a}{1}) = 2.8$

Divide $a$ by $1$ .

$1.3 - (2.5 a) = 2.8$

Multiply $2.5$ by $- 1$ .

$1.3 - 2.5 a = 2.8$

Step 2

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

Subtract $1.3$ from both sides of the equation.

$- 2.5 a = 2.8 - 1.3$

Subtract $1.3$ from $2.8$ .

$- 2.5 a = 1.5$

Step 3

Divide each term in $- 2.5 a = 1.5$ by $- 2.5$ and simplify.

Divide each term in $- 2.5 a = 1.5$ by $- 2.5$ .

$\frac{- 2.5 a}{- 2.5} = \frac{1.5}{- 2.5}$

Simplify the left side.

Cancel the common factor of $- 2.5$ .

Cancel the common factor.

$\frac{- 2.5 a}{- 2.5} = \frac{1.5}{- 2.5}$

Divide $a$ by $1$ .

$a = \frac{1.5}{- 2.5}$

Simplify the right side.

Divide $1.5$ by $- 2.5$ .

$a = - 0.6$