(3+2x)-(4x-5)*-6=(21-6x)*-5*-4

Solution for (3+2x)-(4x-5)*-6=(21-6x)*-5*-4 equation:

Simplifying
(3 + 2x) + -1(4x + -5) * -6 = (21 + -6x) * -5 * -4

Remove parenthesis around (3 + 2x)
3 + 2x + -1(4x + -5) * -6 = (21 + -6x) * -5 * -4

Reorder the terms:
3 + 2x + -1(-5 + 4x) * -6 = (21 + -6x) * -5 * -4

Reorder the terms for easier multiplication:
3 + 2x + -1 * -6(-5 + 4x) = (21 + -6x) * -5 * -4

Multiply -1 * -6
3 + 2x + 6(-5 + 4x) = (21 + -6x) * -5 * -4
3 + 2x + (-5 * 6 + 4x * 6) = (21 + -6x) * -5 * -4
3 + 2x + (-30 + 24x) = (21 + -6x) * -5 * -4

Reorder the terms:
3 + -30 + 2x + 24x = (21 + -6x) * -5 * -4

Combine like terms: 3 + -30 = -27
-27 + 2x + 24x = (21 + -6x) * -5 * -4

Combine like terms: 2x + 24x = 26x
-27 + 26x = (21 + -6x) * -5 * -4

Reorder the terms for easier multiplication:
-27 + 26x = -5 * -4(21 + -6x)

Multiply -5 * -4
-27 + 26x = 20(21 + -6x)
-27 + 26x = (21 * 20 + -6x * 20)
-27 + 26x = (420 + -120x)

Solving
-27 + 26x = 420 + -120x

Solving for variable 'x'.

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

Add '120x' to each side of the equation.
-27 + 26x + 120x = 420 + -120x + 120x

Combine like terms: 26x + 120x = 146x
-27 + 146x = 420 + -120x + 120x

Combine like terms: -120x + 120x = 0
-27 + 146x = 420 + 0
-27 + 146x = 420

Add '27' to each side of the equation.
-27 + 27 + 146x = 420 + 27

Combine like terms: -27 + 27 = 0
0 + 146x = 420 + 27
146x = 420 + 27

Combine like terms: 420 + 27 = 447
146x = 447

Divide each side by '146'.
x = 3.061643836

Simplifying
x = 3.061643836