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

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


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

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

Reorder the terms:
10 + 5d = 2(-6 + d)
10 + 5d = (-6 * 2 + d * 2)
10 + 5d = (-12 + 2d)

Solving
10 + 5d = -12 + 2d

Solving for variable 'd'.

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

Add '-2d' to each side of the equation.
10 + 5d + -2d = -12 + 2d + -2d

Combine like terms: 5d + -2d = 3d
10 + 3d = -12 + 2d + -2d

Combine like terms: 2d + -2d = 0
10 + 3d = -12 + 0
10 + 3d = -12

Add '-10' to each side of the equation.
10 + -10 + 3d = -12 + -10

Combine like terms: 10 + -10 = 0
0 + 3d = -12 + -10
3d = -12 + -10

Combine like terms: -12 + -10 = -22
3d = -22

Divide each side by '3'.
d = -7.333333333

Simplifying
d = -7.333333333

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