3[5-(-3x-1)]=54x+33

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Solution for 3[5-(-3x-1)]=54x+33 equation: 


Simplifying
3[5 + -1(-3x + -1)] = 54x + 33

Reorder the terms:
3[5 + -1(-1 + -3x)] = 54x + 33
3[5 + (-1 * -1 + -3x * -1)] = 54x + 33
3[5 + (1 + 3x)] = 54x + 33

Combine like terms: 5 + 1 = 6
3[6 + 3x] = 54x + 33
[6 * 3 + 3x * 3] = 54x + 33
[18 + 9x] = 54x + 33

Reorder the terms:
18 + 9x = 33 + 54x

Solving
18 + 9x = 33 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
18 + 9x + -54x = 33 + 54x + -54x

Combine like terms: 9x + -54x = -45x
18 + -45x = 33 + 54x + -54x

Combine like terms: 54x + -54x = 0
18 + -45x = 33 + 0
18 + -45x = 33

Add '-18' to each side of the equation.
18 + -18 + -45x = 33 + -18

Combine like terms: 18 + -18 = 0
0 + -45x = 33 + -18
-45x = 33 + -18

Combine like terms: 33 + -18 = 15
-45x = 15

Divide each side by '-45'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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