2[4(q-4)+19]-[2(5q-2)+4]=

Solution for 2[4(q-4)+19]-[2(5q-2)+4]= equation:

Simplifying
2[4(q + -4) + 19] + -1[2(5q + -2) + 4] = 0

Reorder the terms:
2[4(-4 + q) + 19] + -1[2(5q + -2) + 4] = 0
2[(-4 * 4 + q * 4) + 19] + -1[2(5q + -2) + 4] = 0
2[(-16 + 4q) + 19] + -1[2(5q + -2) + 4] = 0

Reorder the terms:
2[-16 + 19 + 4q] + -1[2(5q + -2) + 4] = 0

Combine like terms: -16 + 19 = 3
2[3 + 4q] + -1[2(5q + -2) + 4] = 0
[3 * 2 + 4q * 2] + -1[2(5q + -2) + 4] = 0
[6 + 8q] + -1[2(5q + -2) + 4] = 0

Reorder the terms:
6 + 8q + -1[2(-2 + 5q) + 4] = 0
6 + 8q + -1[(-2 * 2 + 5q * 2) + 4] = 0
6 + 8q + -1[(-4 + 10q) + 4] = 0

Reorder the terms:
6 + 8q + -1[-4 + 4 + 10q] = 0

Combine like terms: -4 + 4 = 0
6 + 8q + -1[0 + 10q] = 0
6 + 8q + -1[10q] = 0

Remove brackets around [10q]
6 + 8q + -1 * 10q = 0

Multiply -1 * 10
6 + 8q + -10q = 0

Combine like terms: 8q + -10q = -2q
6 + -2q = 0

Solving
6 + -2q = 0

Solving for variable 'q'.

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

Add '-6' to each side of the equation.
6 + -6 + -2q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2q = 0 + -6
-2q = 0 + -6

Combine like terms: 0 + -6 = -6
-2q = -6

Divide each side by '-2'.
q = 3

Simplifying
q = 3