4q+6=3q+2

Solution for 4q+6=3q+2 equation:

Simplifying
4q + 6 = 3q + 2

Reorder the terms:
6 + 4q = 3q + 2

Reorder the terms:
6 + 4q = 2 + 3q

Solving
6 + 4q = 2 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
6 + 4q + -3q = 2 + 3q + -3q

Combine like terms: 4q + -3q = 1q
6 + 1q = 2 + 3q + -3q

Combine like terms: 3q + -3q = 0
6 + 1q = 2 + 0
6 + 1q = 2

Add '-6' to each side of the equation.
6 + -6 + 1q = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1q = 2 + -6
1q = 2 + -6

Combine like terms: 2 + -6 = -4
1q = -4

Divide each side by '1'.
q = -4

Simplifying
q = -4