8x=18(4x-[8x+(7x-2)])+3

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Solution for 8x=18(4x-[8x+(7x-2)])+3 equation:


Simplifying
8x = 18(4x + -1[8x + (7x + -2)]) + 3

Reorder the terms:
8x = 18(4x + -1[8x + (-2 + 7x)]) + 3

Remove parenthesis around (-2 + 7x)
8x = 18(4x + -1[8x + -2 + 7x]) + 3

Reorder the terms:
8x = 18(4x + -1[-2 + 8x + 7x]) + 3

Combine like terms: 8x + 7x = 15x
8x = 18(4x + -1[-2 + 15x]) + 3
8x = 18(4x + [-2 * -1 + 15x * -1]) + 3
8x = 18(4x + [2 + -15x]) + 3

Reorder the terms:
8x = 18(2 + 4x + -15x) + 3

Combine like terms: 4x + -15x = -11x
8x = 18(2 + -11x) + 3
8x = (2 * 18 + -11x * 18) + 3
8x = (36 + -198x) + 3

Reorder the terms:
8x = 36 + 3 + -198x

Combine like terms: 36 + 3 = 39
8x = 39 + -198x

Solving
8x = 39 + -198x

Solving for variable 'x'.

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

Add '198x' to each side of the equation.
8x + 198x = 39 + -198x + 198x

Combine like terms: 8x + 198x = 206x
206x = 39 + -198x + 198x

Combine like terms: -198x + 198x = 0
206x = 39 + 0
206x = 39

Divide each side by '206'.
x = 0.1893203883

Simplifying
x = 0.1893203883

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