3(3(x-4(x+1))-2)=27

Solution for 3(3(x-4(x+1))-2)=27 equation:

Simplifying
3(3(x + -4(x + 1)) + -2) = 27

Reorder the terms:
3(3(x + -4(1 + x)) + -2) = 27
3(3(x + (1 * -4 + x * -4)) + -2) = 27
3(3(x + (-4 + -4x)) + -2) = 27

Reorder the terms:
3(3(-4 + x + -4x) + -2) = 27

Combine like terms: x + -4x = -3x
3(3(-4 + -3x) + -2) = 27
3((-4 * 3 + -3x * 3) + -2) = 27
3((-12 + -9x) + -2) = 27

Reorder the terms:
3(-12 + -2 + -9x) = 27

Combine like terms: -12 + -2 = -14
3(-14 + -9x) = 27
(-14 * 3 + -9x * 3) = 27
(-42 + -27x) = 27

Solving
-42 + -27x = 27

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + -27x = 27 + 42

Combine like terms: -42 + 42 = 0
0 + -27x = 27 + 42
-27x = 27 + 42

Combine like terms: 27 + 42 = 69
-27x = 69

Divide each side by '-27'.
x = -2.555555556

Simplifying
x = -2.555555556