4x-6(2x-3(5x-3))=20

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Solution for 4x-6(2x-3(5x-3))=20 equation:


Simplifying
4x + -6(2x + -3(5x + -3)) = 20

Reorder the terms:
4x + -6(2x + -3(-3 + 5x)) = 20
4x + -6(2x + (-3 * -3 + 5x * -3)) = 20
4x + -6(2x + (9 + -15x)) = 20

Reorder the terms:
4x + -6(9 + 2x + -15x) = 20

Combine like terms: 2x + -15x = -13x
4x + -6(9 + -13x) = 20
4x + (9 * -6 + -13x * -6) = 20
4x + (-54 + 78x) = 20

Reorder the terms:
-54 + 4x + 78x = 20

Combine like terms: 4x + 78x = 82x
-54 + 82x = 20

Solving
-54 + 82x = 20

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 + 82x = 20 + 54

Combine like terms: -54 + 54 = 0
0 + 82x = 20 + 54
82x = 20 + 54

Combine like terms: 20 + 54 = 74
82x = 74

Divide each side by '82'.
x = 0.9024390244

Simplifying
x = 0.9024390244

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