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

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

Simplifying
5d + -2(3 + -1d) = 4(2d + -3) + -2d
5d + (3 * -2 + -1d * -2) = 4(2d + -3) + -2d
5d + (-6 + 2d) = 4(2d + -3) + -2d

Reorder the terms:
-6 + 5d + 2d = 4(2d + -3) + -2d

Combine like terms: 5d + 2d = 7d
-6 + 7d = 4(2d + -3) + -2d

Reorder the terms:
-6 + 7d = 4(-3 + 2d) + -2d
-6 + 7d = (-3 * 4 + 2d * 4) + -2d
-6 + 7d = (-12 + 8d) + -2d

Combine like terms: 8d + -2d = 6d
-6 + 7d = -12 + 6d

Solving
-6 + 7d = -12 + 6d

Solving for variable 'd'.

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

Add '-6d' to each side of the equation.
-6 + 7d + -6d = -12 + 6d + -6d

Combine like terms: 7d + -6d = 1d
-6 + 1d = -12 + 6d + -6d

Combine like terms: 6d + -6d = 0
-6 + 1d = -12 + 0
-6 + 1d = -12

Add '6' to each side of the equation.
-6 + 6 + 1d = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 1d = -12 + 6
1d = -12 + 6

Combine like terms: -12 + 6 = -6
1d = -6

Divide each side by '1'.
d = -6

Simplifying
d = -6