2(d-2)=4(d+3)-6(3+2d)

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Solution for 2(d-2)=4(d+3)-6(3+2d) equation:


Simplifying
2(d + -2) = 4(d + 3) + -6(3 + 2d)

Reorder the terms:
2(-2 + d) = 4(d + 3) + -6(3 + 2d)
(-2 * 2 + d * 2) = 4(d + 3) + -6(3 + 2d)
(-4 + 2d) = 4(d + 3) + -6(3 + 2d)

Reorder the terms:
-4 + 2d = 4(3 + d) + -6(3 + 2d)
-4 + 2d = (3 * 4 + d * 4) + -6(3 + 2d)
-4 + 2d = (12 + 4d) + -6(3 + 2d)
-4 + 2d = 12 + 4d + (3 * -6 + 2d * -6)
-4 + 2d = 12 + 4d + (-18 + -12d)

Reorder the terms:
-4 + 2d = 12 + -18 + 4d + -12d

Combine like terms: 12 + -18 = -6
-4 + 2d = -6 + 4d + -12d

Combine like terms: 4d + -12d = -8d
-4 + 2d = -6 + -8d

Solving
-4 + 2d = -6 + -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.
-4 + 2d + 8d = -6 + -8d + 8d

Combine like terms: 2d + 8d = 10d
-4 + 10d = -6 + -8d + 8d

Combine like terms: -8d + 8d = 0
-4 + 10d = -6 + 0
-4 + 10d = -6

Add '4' to each side of the equation.
-4 + 4 + 10d = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 10d = -6 + 4
10d = -6 + 4

Combine like terms: -6 + 4 = -2
10d = -2

Divide each side by '10'.
d = -0.2

Simplifying
d = -0.2

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