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

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


Simplifying
2(2d + 5) = 3(8 + -1d)

Reorder the terms:
2(5 + 2d) = 3(8 + -1d)
(5 * 2 + 2d * 2) = 3(8 + -1d)
(10 + 4d) = 3(8 + -1d)
10 + 4d = (8 * 3 + -1d * 3)
10 + 4d = (24 + -3d)

Solving
10 + 4d = 24 + -3d

Solving for variable 'd'.

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

Add '3d' to each side of the equation.
10 + 4d + 3d = 24 + -3d + 3d

Combine like terms: 4d + 3d = 7d
10 + 7d = 24 + -3d + 3d

Combine like terms: -3d + 3d = 0
10 + 7d = 24 + 0
10 + 7d = 24

Add '-10' to each side of the equation.
10 + -10 + 7d = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 7d = 24 + -10
7d = 24 + -10

Combine like terms: 24 + -10 = 14
7d = 14

Divide each side by '7'.
d = 2

Simplifying
d = 2

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