5.7[5-[11-(2x+3)]+9]=-18.4

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Solution for 5.7[5-[11-(2x+3)]+9]=-18.4 equation: 


Simplifying
5.7[5 + -1[11 + -1(2x + 3)] + 9] = -18.4

Reorder the terms:
5.7[5 + -1[11 + -1(3 + 2x)] + 9] = -18.4
5.7[5 + -1[11 + (3 * -1 + 2x * -1)] + 9] = -18.4
5.7[5 + -1[11 + (-3 + -2x)] + 9] = -18.4

Combine like terms: 11 + -3 = 8
5.7[5 + -1[8 + -2x] + 9] = -18.4
5.7[5 + [8 * -1 + -2x * -1] + 9] = -18.4
5.7[5 + [-8 + 2x] + 9] = -18.4

Reorder the terms:
5.7[5 + -8 + 9 + 2x] = -18.4

Combine like terms: 5 + -8 = -3
5.7[-3 + 9 + 2x] = -18.4

Combine like terms: -3 + 9 = 6
5.7[6 + 2x] = -18.4
[6 * 5.7 + 2x * 5.7] = -18.4
[34.2 + 11.4x] = -18.4

Solving
34.2 + 11.4x = -18.4

Solving for variable 'x'.

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

Add '-34.2' to each side of the equation.
34.2 + -34.2 + 11.4x = -18.4 + -34.2

Combine like terms: 34.2 + -34.2 = 0.0
0.0 + 11.4x = -18.4 + -34.2
11.4x = -18.4 + -34.2

Combine like terms: -18.4 + -34.2 = -52.6
11.4x = -52.6

Divide each side by '11.4'.
x = -4.614035088

Simplifying
x = -4.614035088

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