6(1-36x)-20(4x-29)=-6

Solution for 6(1-36x)-20(4x-29)=-6 equation:

Simplifying
6(1 + -36x) + -20(4x + -29) = -6
(1 * 6 + -36x * 6) + -20(4x + -29) = -6
(6 + -216x) + -20(4x + -29) = -6

Reorder the terms:
6 + -216x + -20(-29 + 4x) = -6
6 + -216x + (-29 * -20 + 4x * -20) = -6
6 + -216x + (580 + -80x) = -6

Reorder the terms:
6 + 580 + -216x + -80x = -6

Combine like terms: 6 + 580 = 586
586 + -216x + -80x = -6

Combine like terms: -216x + -80x = -296x
586 + -296x = -6

Solving
586 + -296x = -6

Solving for variable 'x'.

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

Add '-586' to each side of the equation.
586 + -586 + -296x = -6 + -586

Combine like terms: 586 + -586 = 0
0 + -296x = -6 + -586
-296x = -6 + -586

Combine like terms: -6 + -586 = -592
-296x = -592

Divide each side by '-296'.
x = 2

Simplifying
x = 2