2q-82=q+61

Solution for 2q-82=q+61 equation:

Simplifying
2q + -82 = q + 61

Reorder the terms:
-82 + 2q = q + 61

Reorder the terms:
-82 + 2q = 61 + q

Solving
-82 + 2q = 61 + q

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-1q' to each side of the equation.
-82 + 2q + -1q = 61 + q + -1q

Combine like terms: 2q + -1q = 1q
-82 + 1q = 61 + q + -1q

Combine like terms: q + -1q = 0
-82 + 1q = 61 + 0
-82 + 1q = 61

Add '82' to each side of the equation.
-82 + 82 + 1q = 61 + 82

Combine like terms: -82 + 82 = 0
0 + 1q = 61 + 82
1q = 61 + 82

Combine like terms: 61 + 82 = 143
1q = 143

Divide each side by '1'.
q = 143

Simplifying
q = 143