5.3[4-[8-(3x+5)]+7]=-18.4

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Solution for 5.3[4-[8-(3x+5)]+7]=-18.4 equation:


Simplifying
5.3[4 + -1[8 + -1(3x + 5)] + 7] = -18.4

Reorder the terms:
5.3[4 + -1[8 + -1(5 + 3x)] + 7] = -18.4
5.3[4 + -1[8 + (5 * -1 + 3x * -1)] + 7] = -18.4
5.3[4 + -1[8 + (-5 + -3x)] + 7] = -18.4

Combine like terms: 8 + -5 = 3
5.3[4 + -1[3 + -3x] + 7] = -18.4
5.3[4 + [3 * -1 + -3x * -1] + 7] = -18.4
5.3[4 + [-3 + 3x] + 7] = -18.4

Reorder the terms:
5.3[4 + -3 + 7 + 3x] = -18.4

Combine like terms: 4 + -3 = 1
5.3[1 + 7 + 3x] = -18.4

Combine like terms: 1 + 7 = 8
5.3[8 + 3x] = -18.4
[8 * 5.3 + 3x * 5.3] = -18.4
[42.4 + 15.9x] = -18.4

Solving
42.4 + 15.9x = -18.4

Solving for variable 'x'.

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

Add '-42.4' to each side of the equation.
42.4 + -42.4 + 15.9x = -18.4 + -42.4

Combine like terms: 42.4 + -42.4 = 0.0
0.0 + 15.9x = -18.4 + -42.4
15.9x = -18.4 + -42.4

Combine like terms: -18.4 + -42.4 = -60.8
15.9x = -60.8

Divide each side by '15.9'.
x = -3.823899371

Simplifying
x = -3.823899371

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