4q+-3(1-q)=3q+5(1-q)

Solution for 4q+-3(1-q)=3q+5(1-q) equation:

Simplifying
4q + -3(1 + -1q) = 3q + 5(1 + -1q)
4q + (1 * -3 + -1q * -3) = 3q + 5(1 + -1q)
4q + (-3 + 3q) = 3q + 5(1 + -1q)

Reorder the terms:
-3 + 4q + 3q = 3q + 5(1 + -1q)

Combine like terms: 4q + 3q = 7q
-3 + 7q = 3q + 5(1 + -1q)
-3 + 7q = 3q + (1 * 5 + -1q * 5)
-3 + 7q = 3q + (5 + -5q)

Reorder the terms:
-3 + 7q = 5 + 3q + -5q

Combine like terms: 3q + -5q = -2q
-3 + 7q = 5 + -2q

Solving
-3 + 7q = 5 + -2q

Solving for variable 'q'.

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

Add '2q' to each side of the equation.
-3 + 7q + 2q = 5 + -2q + 2q

Combine like terms: 7q + 2q = 9q
-3 + 9q = 5 + -2q + 2q

Combine like terms: -2q + 2q = 0
-3 + 9q = 5 + 0
-3 + 9q = 5

Add '3' to each side of the equation.
-3 + 3 + 9q = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 9q = 5 + 3
9q = 5 + 3

Combine like terms: 5 + 3 = 8
9q = 8

Divide each side by '9'.
q = 0.8888888889

Simplifying
q = 0.8888888889