5.3(8-(8-(3x+5))+5)=-18.8

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Solution for 5.3(8-(8-(3x+5))+5)=-18.8 equation: 


Simplifying
5.3(8 + -1(8 + -1(3x + 5)) + 5) = -18.8

Reorder the terms:
5.3(8 + -1(8 + -1(5 + 3x)) + 5) = -18.8
5.3(8 + -1(8 + (5 * -1 + 3x * -1)) + 5) = -18.8
5.3(8 + -1(8 + (-5 + -3x)) + 5) = -18.8

Combine like terms: 8 + -5 = 3
5.3(8 + -1(3 + -3x) + 5) = -18.8
5.3(8 + (3 * -1 + -3x * -1) + 5) = -18.8
5.3(8 + (-3 + 3x) + 5) = -18.8

Reorder the terms:
5.3(8 + -3 + 5 + 3x) = -18.8

Combine like terms: 8 + -3 = 5
5.3(5 + 5 + 3x) = -18.8

Combine like terms: 5 + 5 = 10
5.3(10 + 3x) = -18.8
(10 * 5.3 + 3x * 5.3) = -18.8
(53 + 15.9x) = -18.8

Solving
53 + 15.9x = -18.8

Solving for variable 'x'.

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

Add '-53' to each side of the equation.
53 + -53 + 15.9x = -18.8 + -53

Combine like terms: 53 + -53 = 0
0 + 15.9x = -18.8 + -53
15.9x = -18.8 + -53

Combine like terms: -18.8 + -53 = -71.8
15.9x = -71.8

Divide each side by '15.9'.
x = -4.51572327

Simplifying
x = -4.51572327

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