3[7-(-9x-2)]=54x+33

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Solution for 3[7-(-9x-2)]=54x+33 equation:


Simplifying
3[7 + -1(-9x + -2)] = 54x + 33

Reorder the terms:
3[7 + -1(-2 + -9x)] = 54x + 33
3[7 + (-2 * -1 + -9x * -1)] = 54x + 33
3[7 + (2 + 9x)] = 54x + 33

Combine like terms: 7 + 2 = 9
3[9 + 9x] = 54x + 33
[9 * 3 + 9x * 3] = 54x + 33
[27 + 27x] = 54x + 33

Reorder the terms:
27 + 27x = 33 + 54x

Solving
27 + 27x = 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.
27 + 27x + -54x = 33 + 54x + -54x

Combine like terms: 27x + -54x = -27x
27 + -27x = 33 + 54x + -54x

Combine like terms: 54x + -54x = 0
27 + -27x = 33 + 0
27 + -27x = 33

Add '-27' to each side of the equation.
27 + -27 + -27x = 33 + -27

Combine like terms: 27 + -27 = 0
0 + -27x = 33 + -27
-27x = 33 + -27

Combine like terms: 33 + -27 = 6
-27x = 6

Divide each side by '-27'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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