10d+6=3d+48

Solution for 10d+6=3d+48 equation:

Simplifying
10d + 6 = 3d + 48

Reorder the terms:
6 + 10d = 3d + 48

Reorder the terms:
6 + 10d = 48 + 3d

Solving
6 + 10d = 48 + 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.
6 + 10d + -3d = 48 + 3d + -3d

Combine like terms: 10d + -3d = 7d
6 + 7d = 48 + 3d + -3d

Combine like terms: 3d + -3d = 0
6 + 7d = 48 + 0
6 + 7d = 48

Add '-6' to each side of the equation.
6 + -6 + 7d = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 7d = 48 + -6
7d = 48 + -6

Combine like terms: 48 + -6 = 42
7d = 42

Divide each side by '7'.
d = 6

Simplifying
d = 6