(d)+(d+5)+(d-10)+(2d)+(d-10).5=111

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Solution for (d)+(d+5)+(d-10)+(2d)+(d-10).5=111 equation: 


Simplifying
(d) + (d + 5) + (d + -10) + (2d) + (d + -10) * 0.5 = 111
d + (d + 5) + (d + -10) + (2d) + (d + -10) * 0.5 = 111

Reorder the terms:
d + (5 + d) + (d + -10) + (2d) + (d + -10) * 0.5 = 111

Remove parenthesis around (5 + d)
d + 5 + d + (d + -10) + (2d) + (d + -10) * 0.5 = 111

Reorder the terms:
d + 5 + d + (-10 + d) + (2d) + (d + -10) * 0.5 = 111

Remove parenthesis around (-10 + d)
d + 5 + d + -10 + d + (2d) + (d + -10) * 0.5 = 111

Reorder the terms:
d + 5 + d + -10 + d + (2d) + (-10 + d) * 0.5 = 111

Reorder the terms for easier multiplication:
d + 5 + d + -10 + d + (2d) + 0.5(-10 + d) = 111
d + 5 + d + -10 + d + (2d) + (-10 * 0.5 + d * 0.5) = 111
d + 5 + d + -10 + d + (2d) + (-5 + 0.5d) = 111

Reorder the terms:
5 + -10 + -5 + d + d + d + (2d) + 0.5d = 111

Combine like terms: 5 + -10 = -5
-5 + -5 + d + d + d + (2d) + 0.5d = 111

Combine like terms: -5 + -5 = -10
-10 + d + d + d + (2d) + 0.5d = 111

Combine like terms: d + d = 2d
-10 + 2d + d + (2d) + 0.5d = 111

Combine like terms: 2d + d = 3d
-10 + 3d + (2d) + 0.5d = 111

Combine like terms: 3d + (2d) = 5d
-10 + 5d + 0.5d = 111

Combine like terms: 5d + 0.5d = 5.5d
-10 + 5.5d = 111

Solving
-10 + 5.5d = 111

Solving for variable 'd'.

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

Add '10' to each side of the equation.
-10 + 10 + 5.5d = 111 + 10

Combine like terms: -10 + 10 = 0
0 + 5.5d = 111 + 10
5.5d = 111 + 10

Combine like terms: 111 + 10 = 121
5.5d = 121

Divide each side by '5.5'.
d = 22

Simplifying
d = 22

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