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

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

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

Reorder the terms:
2(-1 + 5d) = 3(2d + 2)
(-1 * 2 + 5d * 2) = 3(2d + 2)
(-2 + 10d) = 3(2d + 2)

Reorder the terms:
-2 + 10d = 3(2 + 2d)
-2 + 10d = (2 * 3 + 2d * 3)
-2 + 10d = (6 + 6d)

Solving
-2 + 10d = 6 + 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.
-2 + 10d + -6d = 6 + 6d + -6d

Combine like terms: 10d + -6d = 4d
-2 + 4d = 6 + 6d + -6d

Combine like terms: 6d + -6d = 0
-2 + 4d = 6 + 0
-2 + 4d = 6

Add '2' to each side of the equation.
-2 + 2 + 4d = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 4d = 6 + 2
4d = 6 + 2

Combine like terms: 6 + 2 = 8
4d = 8

Divide each side by '4'.
d = 2

Simplifying
d = 2