4(5q-4)-[2(3q-3)+5]=

Solution for 4(5q-4)-[2(3q-3)+5]= equation:

Simplifying
4(5q + -4) + -1[2(3q + -3) + 5] = 0

Reorder the terms:
4(-4 + 5q) + -1[2(3q + -3) + 5] = 0
(-4 * 4 + 5q * 4) + -1[2(3q + -3) + 5] = 0
(-16 + 20q) + -1[2(3q + -3) + 5] = 0

Reorder the terms:
-16 + 20q + -1[2(-3 + 3q) + 5] = 0
-16 + 20q + -1[(-3 * 2 + 3q * 2) + 5] = 0
-16 + 20q + -1[(-6 + 6q) + 5] = 0

Reorder the terms:
-16 + 20q + -1[-6 + 5 + 6q] = 0

Combine like terms: -6 + 5 = -1
-16 + 20q + -1[-1 + 6q] = 0
-16 + 20q + [-1 * -1 + 6q * -1] = 0
-16 + 20q + [1 + -6q] = 0

Reorder the terms:
-16 + 1 + 20q + -6q = 0

Combine like terms: -16 + 1 = -15
-15 + 20q + -6q = 0

Combine like terms: 20q + -6q = 14q
-15 + 14q = 0

Solving
-15 + 14q = 0

Solving for variable 'q'.

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

Add '15' to each side of the equation.
-15 + 15 + 14q = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 14q = 0 + 15
14q = 0 + 15

Combine like terms: 0 + 15 = 15
14q = 15

Divide each side by '14'.
q = 1.071428571

Simplifying
q = 1.071428571