-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 = -5q
3 + -5q = 5 + -2q + 2q

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

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

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

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

Divide each side by '-5'.
q = -0.4

Simplifying
q = -0.4