3q+6=5q+10

Solution for 3q+6=5q+10 equation:

Simplifying
3q + 6 = 5q + 10

Reorder the terms:
6 + 3q = 5q + 10

Reorder the terms:
6 + 3q = 10 + 5q

Solving
6 + 3q = 10 + 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
6 + 3q + -5q = 10 + 5q + -5q

Combine like terms: 3q + -5q = -2q
6 + -2q = 10 + 5q + -5q

Combine like terms: 5q + -5q = 0
6 + -2q = 10 + 0
6 + -2q = 10

Add '-6' to each side of the equation.
6 + -6 + -2q = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -2q = 10 + -6
-2q = 10 + -6

Combine like terms: 10 + -6 = 4
-2q = 4

Divide each side by '-2'.
q = -2

Simplifying
q = -2