4d+6=2(d+8)-12

Solution for 4d+6=2(d+8)-12 equation:

Simplifying
4d + 6 = 2(d + 8) + -12

Reorder the terms:
6 + 4d = 2(d + 8) + -12

Reorder the terms:
6 + 4d = 2(8 + d) + -12
6 + 4d = (8 * 2 + d * 2) + -12
6 + 4d = (16 + 2d) + -12

Reorder the terms:
6 + 4d = 16 + -12 + 2d

Combine like terms: 16 + -12 = 4
6 + 4d = 4 + 2d

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 2d = 4 + -6

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

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

Divide each side by '2'.
d = -1

Simplifying
d = -1