5(d+2)=3(d-9)

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Solution for 5(d+2)=3(d-9) equation:


Simplifying
5(d + 2) = 3(d + -9)

Reorder the terms:
5(2 + d) = 3(d + -9)
(2 * 5 + d * 5) = 3(d + -9)
(10 + 5d) = 3(d + -9)

Reorder the terms:
10 + 5d = 3(-9 + d)
10 + 5d = (-9 * 3 + d * 3)
10 + 5d = (-27 + 3d)

Solving
10 + 5d = -27 + 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 + 5d + -3d = -27 + 3d + -3d

Combine like terms: 5d + -3d = 2d
10 + 2d = -27 + 3d + -3d

Combine like terms: 3d + -3d = 0
10 + 2d = -27 + 0
10 + 2d = -27

Add '-10' to each side of the equation.
10 + -10 + 2d = -27 + -10

Combine like terms: 10 + -10 = 0
0 + 2d = -27 + -10
2d = -27 + -10

Combine like terms: -27 + -10 = -37
2d = -37

Divide each side by '2'.
d = -18.5

Simplifying
d = -18.5

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