2(d-(2d+12)+9)=2(d+3)

Solution for 2(d-(2d+12)+9)=2(d+3) equation:

Simplifying
2(d + -1(2d + 12) + 9) = 2(d + 3)

Reorder the terms:
2(d + -1(12 + 2d) + 9) = 2(d + 3)
2(d + (12 * -1 + 2d * -1) + 9) = 2(d + 3)
2(d + (-12 + -2d) + 9) = 2(d + 3)

Reorder the terms:
2(-12 + 9 + d + -2d) = 2(d + 3)

Combine like terms: -12 + 9 = -3
2(-3 + d + -2d) = 2(d + 3)

Combine like terms: d + -2d = -1d
2(-3 + -1d) = 2(d + 3)
(-3 * 2 + -1d * 2) = 2(d + 3)
(-6 + -2d) = 2(d + 3)

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

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

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

Combine like terms: 2d + -2d = 0
-6 + -4d = 6 + 0
-6 + -4d = 6

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

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

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

Divide each side by '-4'.
d = -3

Simplifying
d = -3