(.5x+5)+[.5(.5x+5)+5]+.75[.5(.5x+5)+5]+5=0

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Solution for (.5x+5)+[.5(.5x+5)+5]+.75[.5(.5x+5)+5]+5=0 equation: 


Simplifying
(0.5x + 5) + [0.5(0.5x + 5) + 5] + 0.75[0.5(0.5x + 5) + 5] + 5 = 0

Reorder the terms:
(5 + 0.5x) + [0.5(0.5x + 5) + 5] + 0.75[0.5(0.5x + 5) + 5] + 5 = 0

Remove parenthesis around (5 + 0.5x)
5 + 0.5x + [0.5(0.5x + 5) + 5] + 0.75[0.5(0.5x + 5) + 5] + 5 = 0

Reorder the terms:
5 + 0.5x + [0.5(5 + 0.5x) + 5] + 0.75[0.5(0.5x + 5) + 5] + 5 = 0
5 + 0.5x + [(5 * 0.5 + 0.5x * 0.5) + 5] + 0.75[0.5(0.5x + 5) + 5] + 5 = 0
5 + 0.5x + [(2.5 + 0.25x) + 5] + 0.75[0.5(0.5x + 5) + 5] + 5 = 0

Reorder the terms:
5 + 0.5x + [2.5 + 5 + 0.25x] + 0.75[0.5(0.5x + 5) + 5] + 5 = 0

Combine like terms: 2.5 + 5 = 7.5
5 + 0.5x + [7.5 + 0.25x] + 0.75[0.5(0.5x + 5) + 5] + 5 = 0

Remove brackets around [7.5 + 0.25x]
5 + 0.5x + 7.5 + 0.25x + 0.75[0.5(0.5x + 5) + 5] + 5 = 0

Reorder the terms:
5 + 0.5x + 7.5 + 0.25x + 0.75[0.5(5 + 0.5x) + 5] + 5 = 0
5 + 0.5x + 7.5 + 0.25x + 0.75[(5 * 0.5 + 0.5x * 0.5) + 5] + 5 = 0
5 + 0.5x + 7.5 + 0.25x + 0.75[(2.5 + 0.25x) + 5] + 5 = 0

Reorder the terms:
5 + 0.5x + 7.5 + 0.25x + 0.75[2.5 + 5 + 0.25x] + 5 = 0

Combine like terms: 2.5 + 5 = 7.5
5 + 0.5x + 7.5 + 0.25x + 0.75[7.5 + 0.25x] + 5 = 0
5 + 0.5x + 7.5 + 0.25x + [7.5 * 0.75 + 0.25x * 0.75] + 5 = 0
5 + 0.5x + 7.5 + 0.25x + [5.625 + 0.1875x] + 5 = 0

Reorder the terms:
5 + 7.5 + 5.625 + 5 + 0.5x + 0.25x + 0.1875x = 0

Combine like terms: 5 + 7.5 = 12.5
12.5 + 5.625 + 5 + 0.5x + 0.25x + 0.1875x = 0

Combine like terms: 12.5 + 5.625 = 18.125
18.125 + 5 + 0.5x + 0.25x + 0.1875x = 0

Combine like terms: 18.125 + 5 = 23.125
23.125 + 0.5x + 0.25x + 0.1875x = 0

Combine like terms: 0.5x + 0.25x = 0.75x
23.125 + 0.75x + 0.1875x = 0

Combine like terms: 0.75x + 0.1875x = 0.9375x
23.125 + 0.9375x = 0

Solving
23.125 + 0.9375x = 0

Solving for variable 'x'.

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

Add '-23.125' to each side of the equation.
23.125 + -23.125 + 0.9375x = 0 + -23.125

Combine like terms: 23.125 + -23.125 = 0.000
0.000 + 0.9375x = 0 + -23.125
0.9375x = 0 + -23.125

Combine like terms: 0 + -23.125 = -23.125
0.9375x = -23.125

Divide each side by '0.9375'.
x = -24.66666667

Simplifying
x = -24.66666667

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