2-7(d-1)=3(d-2)-5(d-3)

Solution for 2-7(d-1)=3(d-2)-5(d-3) equation:

Simplifying
2 + -7(d + -1) = 3(d + -2) + -5(d + -3)

Reorder the terms:
2 + -7(-1 + d) = 3(d + -2) + -5(d + -3)
2 + (-1 * -7 + d * -7) = 3(d + -2) + -5(d + -3)
2 + (7 + -7d) = 3(d + -2) + -5(d + -3)

Combine like terms: 2 + 7 = 9
9 + -7d = 3(d + -2) + -5(d + -3)

Reorder the terms:
9 + -7d = 3(-2 + d) + -5(d + -3)
9 + -7d = (-2 * 3 + d * 3) + -5(d + -3)
9 + -7d = (-6 + 3d) + -5(d + -3)

Reorder the terms:
9 + -7d = -6 + 3d + -5(-3 + d)
9 + -7d = -6 + 3d + (-3 * -5 + d * -5)
9 + -7d = -6 + 3d + (15 + -5d)

Reorder the terms:
9 + -7d = -6 + 15 + 3d + -5d

Combine like terms: -6 + 15 = 9
9 + -7d = 9 + 3d + -5d

Combine like terms: 3d + -5d = -2d
9 + -7d = 9 + -2d

Add '-9' to each side of the equation.
9 + -9 + -7d = 9 + -9 + -2d

Combine like terms: 9 + -9 = 0
0 + -7d = 9 + -9 + -2d
-7d = 9 + -9 + -2d

Combine like terms: 9 + -9 = 0
-7d = 0 + -2d
-7d = -2d

Solving
-7d = -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.
-7d + 2d = -2d + 2d

Combine like terms: -7d + 2d = -5d
-5d = -2d + 2d

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

Divide each side by '-5'.
d = 0

Simplifying
d = 0