3-2(2x-3)+3(4x-1)=-20

Solution for 3-2(2x-3)+3(4x-1)=-20 equation:

Simplifying
3 + -2(2x + -3) + 3(4x + -1) = -20

Reorder the terms:
3 + -2(-3 + 2x) + 3(4x + -1) = -20
3 + (-3 * -2 + 2x * -2) + 3(4x + -1) = -20
3 + (6 + -4x) + 3(4x + -1) = -20

Reorder the terms:
3 + 6 + -4x + 3(-1 + 4x) = -20
3 + 6 + -4x + (-1 * 3 + 4x * 3) = -20
3 + 6 + -4x + (-3 + 12x) = -20

Reorder the terms:
3 + 6 + -3 + -4x + 12x = -20

Combine like terms: 3 + 6 = 9
9 + -3 + -4x + 12x = -20

Combine like terms: 9 + -3 = 6
6 + -4x + 12x = -20

Combine like terms: -4x + 12x = 8x
6 + 8x = -20

Solving
6 + 8x = -20

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 8x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -20 + -6
8x = -20 + -6

Combine like terms: -20 + -6 = -26
8x = -26

Divide each side by '8'.
x = -3.25

Simplifying
x = -3.25