3(4-2d)-6=2(5d-5)

Solution for 3(4-2d)-6=2(5d-5) equation:

Simplifying
3(4 + -2d) + -6 = 2(5d + -5)
(4 * 3 + -2d * 3) + -6 = 2(5d + -5)
(12 + -6d) + -6 = 2(5d + -5)

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

Combine like terms: 12 + -6 = 6
6 + -6d = 2(5d + -5)

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

Solving
6 + -6d = -10 + 10d

Solving for variable 'd'.

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

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

Combine like terms: -6d + -10d = -16d
6 + -16d = -10 + 10d + -10d

Combine like terms: 10d + -10d = 0
6 + -16d = -10 + 0
6 + -16d = -10

Add '-6' to each side of the equation.
6 + -6 + -16d = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -16d = -10 + -6
-16d = -10 + -6

Combine like terms: -10 + -6 = -16
-16d = -16

Divide each side by '-16'.
d = 1

Simplifying
d = 1