0.2(d+50)-6=0.4(d+20)

Solution for 0.2(d+50)-6=0.4(d+20) equation:

Simplifying
0.2(d + 50) + -6 = 0.4(d + 20)

Reorder the terms:
0.2(50 + d) + -6 = 0.4(d + 20)
(50 * 0.2 + d * 0.2) + -6 = 0.4(d + 20)
(10 + 0.2d) + -6 = 0.4(d + 20)

Reorder the terms:
10 + -6 + 0.2d = 0.4(d + 20)

Combine like terms: 10 + -6 = 4
4 + 0.2d = 0.4(d + 20)

Reorder the terms:
4 + 0.2d = 0.4(20 + d)
4 + 0.2d = (20 * 0.4 + d * 0.4)
4 + 0.2d = (8 + 0.4d)

Solving
4 + 0.2d = 8 + 0.4d

Solving for variable 'd'.

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

Add '-0.4d' to each side of the equation.
4 + 0.2d + -0.4d = 8 + 0.4d + -0.4d

Combine like terms: 0.2d + -0.4d = -0.2d
4 + -0.2d = 8 + 0.4d + -0.4d

Combine like terms: 0.4d + -0.4d = 0.0
4 + -0.2d = 8 + 0.0
4 + -0.2d = 8

Add '-4' to each side of the equation.
4 + -4 + -0.2d = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -0.2d = 8 + -4
-0.2d = 8 + -4

Combine like terms: 8 + -4 = 4
-0.2d = 4

Divide each side by '-0.2'.
d = -20

Simplifying
d = -20