Solve for q 50q-43=52q-81

$50 q - 43 = 52 q - 81$

Step 1

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

Subtract $52 q$ from both sides of the equation.

$50 q - 43 - 52 q = - 81$

Subtract $52 q$ from $50 q$ .

$- 2 q - 43 = - 81$

Step 2

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

Add $43$ to both sides of the equation.

$- 2 q = - 81 + 43$

Add $- 81$ and $43$ .

$- 2 q = - 38$

Step 3

Divide each term in $- 2 q = - 38$ by $- 2$ and simplify.

Divide each term in $- 2 q = - 38$ by $- 2$ .

$\frac{- 2 q}{- 2} = \frac{- 38}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 q}{- 2} = \frac{- 38}{- 2}$

Divide $q$ by $1$ .

$q = \frac{- 38}{- 2}$

Simplify the right side.

Divide $- 38$ by $- 2$ .

$q = 19$