5.3(8-(7-(3x+4))+6)=-18.7

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Solution for 5.3(8-(7-(3x+4))+6)=-18.7 equation: 


Simplifying
5.3(8 + -1(7 + -1(3x + 4)) + 6) = -18.7

Reorder the terms:
5.3(8 + -1(7 + -1(4 + 3x)) + 6) = -18.7
5.3(8 + -1(7 + (4 * -1 + 3x * -1)) + 6) = -18.7
5.3(8 + -1(7 + (-4 + -3x)) + 6) = -18.7

Combine like terms: 7 + -4 = 3
5.3(8 + -1(3 + -3x) + 6) = -18.7
5.3(8 + (3 * -1 + -3x * -1) + 6) = -18.7
5.3(8 + (-3 + 3x) + 6) = -18.7

Reorder the terms:
5.3(8 + -3 + 6 + 3x) = -18.7

Combine like terms: 8 + -3 = 5
5.3(5 + 6 + 3x) = -18.7

Combine like terms: 5 + 6 = 11
5.3(11 + 3x) = -18.7
(11 * 5.3 + 3x * 5.3) = -18.7
(58.3 + 15.9x) = -18.7

Solving
58.3 + 15.9x = -18.7

Solving for variable 'x'.

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

Add '-58.3' to each side of the equation.
58.3 + -58.3 + 15.9x = -18.7 + -58.3

Combine like terms: 58.3 + -58.3 = 0.0
0.0 + 15.9x = -18.7 + -58.3
15.9x = -18.7 + -58.3

Combine like terms: -18.7 + -58.3 = -77
15.9x = -77

Divide each side by '15.9'.
x = -4.842767296

Simplifying
x = -4.842767296

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