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

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

Simplifying
3(3 + -1d) + -1(-2)(d + -3) = -1(2d + -5)
(3 * 3 + -1d * 3) + -1(-2)(d + -3) = -1(2d + -5)
(9 + -3d) + -1(-2)(d + -3) = -1(2d + -5)

Reorder the terms:
9 + -3d + -1 * -2(-3 + d) = -1(2d + -5)

Multiply -1 * -2
9 + -3d + 2(-3 + d) = -1(2d + -5)
9 + -3d + (-3 * 2 + d * 2) = -1(2d + -5)
9 + -3d + (-6 + 2d) = -1(2d + -5)

Reorder the terms:
9 + -6 + -3d + 2d = -1(2d + -5)

Combine like terms: 9 + -6 = 3
3 + -3d + 2d = -1(2d + -5)

Combine like terms: -3d + 2d = -1d
3 + -1d = -1(2d + -5)

Reorder the terms:
3 + -1d = -1(-5 + 2d)
3 + -1d = (-5 * -1 + 2d * -1)
3 + -1d = (5 + -2d)

Solving
3 + -1d = 5 + -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.
3 + -1d + 2d = 5 + -2d + 2d

Combine like terms: -1d + 2d = 1d
3 + 1d = 5 + -2d + 2d

Combine like terms: -2d + 2d = 0
3 + 1d = 5 + 0
3 + 1d = 5

Add '-3' to each side of the equation.
3 + -3 + 1d = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1d = 5 + -3
1d = 5 + -3

Combine like terms: 5 + -3 = 2
1d = 2

Divide each side by '1'.
d = 2

Simplifying
d = 2