5(3d+4)=2(4d-4)

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Solution for 5(3d+4)=2(4d-4) equation:


Simplifying
5(3d + 4) = 2(4d + -4)

Reorder the terms:
5(4 + 3d) = 2(4d + -4)
(4 * 5 + 3d * 5) = 2(4d + -4)
(20 + 15d) = 2(4d + -4)

Reorder the terms:
20 + 15d = 2(-4 + 4d)
20 + 15d = (-4 * 2 + 4d * 2)
20 + 15d = (-8 + 8d)

Solving
20 + 15d = -8 + 8d

Solving for variable 'd'.

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

Add '-8d' to each side of the equation.
20 + 15d + -8d = -8 + 8d + -8d

Combine like terms: 15d + -8d = 7d
20 + 7d = -8 + 8d + -8d

Combine like terms: 8d + -8d = 0
20 + 7d = -8 + 0
20 + 7d = -8

Add '-20' to each side of the equation.
20 + -20 + 7d = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 7d = -8 + -20
7d = -8 + -20

Combine like terms: -8 + -20 = -28
7d = -28

Divide each side by '7'.
d = -4

Simplifying
d = -4

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