2d-3(d-1)=5d-1

Solution for 2d-3(d-1)=5d-1 equation:

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

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

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

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

Reorder the terms:
3 + -1d = -1 + 5d

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

Solving for variable 'd'.

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

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

Combine like terms: -1d + -5d = -6d
3 + -6d = -1 + 5d + -5d

Combine like terms: 5d + -5d = 0
3 + -6d = -1 + 0
3 + -6d = -1

Add '-3' to each side of the equation.
3 + -3 + -6d = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -6d = -1 + -3
-6d = -1 + -3

Combine like terms: -1 + -3 = -4
-6d = -4

Divide each side by '-6'.
d = 0.6666666667

Simplifying
d = 0.6666666667