D+6(d-3)=5(d+2)

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Solution for D+6(d-3)=5(d+2) equation:


Simplifying
D + 6(d + -3) = 5(d + 2)

Reorder the terms:
D + 6(-3 + d) = 5(d + 2)
D + (-3 * 6 + d * 6) = 5(d + 2)
D + (-18 + 6d) = 5(d + 2)

Reorder the terms:
-18 + D + 6d = 5(d + 2)

Reorder the terms:
-18 + D + 6d = 5(2 + d)
-18 + D + 6d = (2 * 5 + d * 5)
-18 + D + 6d = (10 + 5d)

Solving
-18 + D + 6d = 10 + 5d

Solving for variable 'D'.

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

Add '18' to each side of the equation.
-18 + D + 18 + 6d = 10 + 18 + 5d

Reorder the terms:
-18 + 18 + D + 6d = 10 + 18 + 5d

Combine like terms: -18 + 18 = 0
0 + D + 6d = 10 + 18 + 5d
D + 6d = 10 + 18 + 5d

Combine like terms: 10 + 18 = 28
D + 6d = 28 + 5d

Add '-6d' to each side of the equation.
D + 6d + -6d = 28 + 5d + -6d

Combine like terms: 6d + -6d = 0
D + 0 = 28 + 5d + -6d
D = 28 + 5d + -6d

Combine like terms: 5d + -6d = -1d
D = 28 + -1d

Simplifying
D = 28 + -1d

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