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

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

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

Reorder the terms:
3 + -3q + 4(-5 + q) = -5
3 + -3q + (-5 * 4 + q * 4) = -5
3 + -3q + (-20 + 4q) = -5

Reorder the terms:
3 + -20 + -3q + 4q = -5

Combine like terms: 3 + -20 = -17
-17 + -3q + 4q = -5

Combine like terms: -3q + 4q = 1q
-17 + 1q = -5

Solving
-17 + 1q = -5

Solving for variable 'q'.

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

Add '17' to each side of the equation.
-17 + 17 + 1q = -5 + 17

Combine like terms: -17 + 17 = 0
0 + 1q = -5 + 17
1q = -5 + 17

Combine like terms: -5 + 17 = 12
1q = 12

Divide each side by '1'.
q = 12

Simplifying
q = 12