5d+2[-d]=3[1+d]+1

Solution for 5d+2[-d]=3[1+d]+1 equation:

Simplifying
5d + 2[-1d] = 3[1 + d] + 1

Remove brackets around [-1d]
5d + 2 * -1d = 3[1 + d] + 1

Multiply 2 * -1
5d + -2d = 3[1 + d] + 1

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

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

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

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

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

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

Solving
0 = 4

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.