6[5-(-9x-2)]=216x+78

Solution for 6[5-(-9x-2)]=216x+78 equation:

Simplifying
6[5 + -1(-9x + -2)] = 216x + 78

Reorder the terms:
6[5 + -1(-2 + -9x)] = 216x + 78
6[5 + (-2 * -1 + -9x * -1)] = 216x + 78
6[5 + (2 + 9x)] = 216x + 78

Combine like terms: 5 + 2 = 7
6[7 + 9x] = 216x + 78
[7 * 6 + 9x * 6] = 216x + 78
[42 + 54x] = 216x + 78

Reorder the terms:
42 + 54x = 78 + 216x

Solving
42 + 54x = 78 + 216x

Solving for variable 'x'.

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

Add '-216x' to each side of the equation.
42 + 54x + -216x = 78 + 216x + -216x

Combine like terms: 54x + -216x = -162x
42 + -162x = 78 + 216x + -216x

Combine like terms: 216x + -216x = 0
42 + -162x = 78 + 0
42 + -162x = 78

Add '-42' to each side of the equation.
42 + -42 + -162x = 78 + -42

Combine like terms: 42 + -42 = 0
0 + -162x = 78 + -42
-162x = 78 + -42

Combine like terms: 78 + -42 = 36
-162x = 36

Divide each side by '-162'.
x = -0.2222222222

Simplifying
x = -0.2222222222