2q+(-3)(1-q)=-2q+2(1-q)

Solution for 2q+(-3)(1-q)=-2q+2(1-q) equation:

Simplifying
2q + (-3)(1 + -1q) = -2q + 2(1 + -1q)
2q + (1 * -3 + -1q * -3) = -2q + 2(1 + -1q)
2q + (-3 + 3q) = -2q + 2(1 + -1q)

Reorder the terms:
-3 + 2q + 3q = -2q + 2(1 + -1q)

Combine like terms: 2q + 3q = 5q
-3 + 5q = -2q + 2(1 + -1q)
-3 + 5q = -2q + (1 * 2 + -1q * 2)
-3 + 5q = -2q + (2 + -2q)

Reorder the terms:
-3 + 5q = 2 + -2q + -2q

Combine like terms: -2q + -2q = -4q
-3 + 5q = 2 + -4q

Solving
-3 + 5q = 2 + -4q

Solving for variable 'q'.

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

Add '4q' to each side of the equation.
-3 + 5q + 4q = 2 + -4q + 4q

Combine like terms: 5q + 4q = 9q
-3 + 9q = 2 + -4q + 4q

Combine like terms: -4q + 4q = 0
-3 + 9q = 2 + 0
-3 + 9q = 2

Add '3' to each side of the equation.
-3 + 3 + 9q = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 9q = 2 + 3
9q = 2 + 3

Combine like terms: 2 + 3 = 5
9q = 5

Divide each side by '9'.
q = 0.5555555556

Simplifying
q = 0.5555555556