Solve for q 8.9-1.4q=q-11.5

$8.9 - 1.4 q = q - 11.5$

Step 1

Move all terms containing $q$ to the left side of the equation.

Subtract $q$ from both sides of the equation.

$8.9 - 1.4 q - q = - 11.5$

Subtract $q$ from $- 1.4 q$ .

$8.9 - 2.4 q = - 11.5$

Step 2

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

Subtract $8.9$ from both sides of the equation.

$- 2.4 q = - 11.5 - 8.9$

Subtract $8.9$ from $- 11.5$ .

$- 2.4 q = - 20.4$

Step 3

Divide each term in $- 2.4 q = - 20.4$ by $- 2.4$ and simplify.

Divide each term in $- 2.4 q = - 20.4$ by $- 2.4$ .

$\frac{- 2.4 q}{- 2.4} = \frac{- 20.4}{- 2.4}$

Simplify the left side.

Cancel the common factor of $- 2.4$ .

Cancel the common factor.

$\frac{- 2.4 q}{- 2.4} = \frac{- 20.4}{- 2.4}$

Divide $q$ by $1$ .

$q = \frac{- 20.4}{- 2.4}$

Simplify the right side.

Divide $- 20.4$ by $- 2.4$ .

$q = 8.5$