5x-3(4x-3(4x-3(5x-2)))=182

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Solution for 5x-3(4x-3(4x-3(5x-2)))=182 equation:


Simplifying
5x + -3(4x + -3(4x + -3(5x + -2))) = 182

Reorder the terms:
5x + -3(4x + -3(4x + -3(-2 + 5x))) = 182
5x + -3(4x + -3(4x + (-2 * -3 + 5x * -3))) = 182
5x + -3(4x + -3(4x + (6 + -15x))) = 182

Reorder the terms:
5x + -3(4x + -3(6 + 4x + -15x)) = 182

Combine like terms: 4x + -15x = -11x
5x + -3(4x + -3(6 + -11x)) = 182
5x + -3(4x + (6 * -3 + -11x * -3)) = 182
5x + -3(4x + (-18 + 33x)) = 182

Reorder the terms:
5x + -3(-18 + 4x + 33x) = 182

Combine like terms: 4x + 33x = 37x
5x + -3(-18 + 37x) = 182
5x + (-18 * -3 + 37x * -3) = 182
5x + (54 + -111x) = 182

Reorder the terms:
54 + 5x + -111x = 182

Combine like terms: 5x + -111x = -106x
54 + -106x = 182

Solving
54 + -106x = 182

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + -106x = 182 + -54

Combine like terms: 54 + -54 = 0
0 + -106x = 182 + -54
-106x = 182 + -54

Combine like terms: 182 + -54 = 128
-106x = 128

Divide each side by '-106'.
x = -1.20754717

Simplifying
x = -1.20754717

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