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

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


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

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

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

Solving
4 + 2d = -15 + 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.
4 + 2d + -3d = -15 + 3d + -3d

Combine like terms: 2d + -3d = -1d
4 + -1d = -15 + 3d + -3d

Combine like terms: 3d + -3d = 0
4 + -1d = -15 + 0
4 + -1d = -15

Add '-4' to each side of the equation.
4 + -4 + -1d = -15 + -4

Combine like terms: 4 + -4 = 0
0 + -1d = -15 + -4
-1d = -15 + -4

Combine like terms: -15 + -4 = -19
-1d = -19

Divide each side by '-1'.
d = 19

Simplifying
d = 19

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