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

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

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

Reorder the terms:
4 + 5d + 2d = 3(1 + d) + 1

Combine like terms: 5d + 2d = 7d
4 + 7d = 3(1 + d) + 1
4 + 7d = (1 * 3 + d * 3) + 1
4 + 7d = (3 + 3d) + 1

Reorder the terms:
4 + 7d = 3 + 1 + 3d

Combine like terms: 3 + 1 = 4
4 + 7d = 4 + 3d

Add '-4' to each side of the equation.
4 + -4 + 7d = 4 + -4 + 3d

Combine like terms: 4 + -4 = 0
0 + 7d = 4 + -4 + 3d
7d = 4 + -4 + 3d

Combine like terms: 4 + -4 = 0
7d = 0 + 3d
7d = 3d

Solving
7d = 3d

Solving for variable 'd'.

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

Add '-3d' to each side of the equation.
7d + -3d = 3d + -3d

Combine like terms: 7d + -3d = 4d
4d = 3d + -3d

Combine like terms: 3d + -3d = 0
4d = 0

Divide each side by '4'.
d = 0

Simplifying
d = 0