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

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

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

Reorder the terms:
2 + 4d = 3 + 1 + 3d

Combine like terms: 3 + 1 = 4
2 + 4d = 4 + 3d

Solving
2 + 4d = 4 + 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.
2 + 4d + -3d = 4 + 3d + -3d

Combine like terms: 4d + -3d = 1d
2 + 1d = 4 + 3d + -3d

Combine like terms: 3d + -3d = 0
2 + 1d = 4 + 0
2 + 1d = 4

Add '-2' to each side of the equation.
2 + -2 + 1d = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 1d = 4 + -2
1d = 4 + -2

Combine like terms: 4 + -2 = 2
1d = 2

Divide each side by '1'.
d = 2

Simplifying
d = 2