3(2d+5)=5(d+8)+6d

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Solution for 3(2d+5)=5(d+8)+6d equation:


Simplifying
3(2d + 5) = 5(d + 8) + 6d

Reorder the terms:
3(5 + 2d) = 5(d + 8) + 6d
(5 * 3 + 2d * 3) = 5(d + 8) + 6d
(15 + 6d) = 5(d + 8) + 6d

Reorder the terms:
15 + 6d = 5(8 + d) + 6d
15 + 6d = (8 * 5 + d * 5) + 6d
15 + 6d = (40 + 5d) + 6d

Combine like terms: 5d + 6d = 11d
15 + 6d = 40 + 11d

Solving
15 + 6d = 40 + 11d

Solving for variable 'd'.

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

Add '-11d' to each side of the equation.
15 + 6d + -11d = 40 + 11d + -11d

Combine like terms: 6d + -11d = -5d
15 + -5d = 40 + 11d + -11d

Combine like terms: 11d + -11d = 0
15 + -5d = 40 + 0
15 + -5d = 40

Add '-15' to each side of the equation.
15 + -15 + -5d = 40 + -15

Combine like terms: 15 + -15 = 0
0 + -5d = 40 + -15
-5d = 40 + -15

Combine like terms: 40 + -15 = 25
-5d = 25

Divide each side by '-5'.
d = -5

Simplifying
d = -5

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