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

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


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

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

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

Combine like terms: 4x + -15x = -11x
5x + -3(4x + -2(6 + -11x)) = 182
5x + -3(4x + (6 * -2 + -11x * -2)) = 182
5x + -3(4x + (-12 + 22x)) = 182

Reorder the terms:
5x + -3(-12 + 4x + 22x) = 182

Combine like terms: 4x + 22x = 26x
5x + -3(-12 + 26x) = 182
5x + (-12 * -3 + 26x * -3) = 182
5x + (36 + -78x) = 182

Reorder the terms:
36 + 5x + -78x = 182

Combine like terms: 5x + -78x = -73x
36 + -73x = 182

Solving
36 + -73x = 182

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -73x = 182 + -36

Combine like terms: 36 + -36 = 0
0 + -73x = 182 + -36
-73x = 182 + -36

Combine like terms: 182 + -36 = 146
-73x = 146

Divide each side by '-73'.
x = -2

Simplifying
x = -2

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