.2(d-6)=.3d+5-3+.1d

Solution for .2(d-6)=.3d+5-3+.1d equation:

Simplifying
0.2(d + -6) = 0.3d + 5 + -3 + 0.1d

Reorder the terms:
0.2(-6 + d) = 0.3d + 5 + -3 + 0.1d
(-6 * 0.2 + d * 0.2) = 0.3d + 5 + -3 + 0.1d
(-1.2 + 0.2d) = 0.3d + 5 + -3 + 0.1d

Reorder the terms:
-1.2 + 0.2d = 5 + -3 + 0.3d + 0.1d

Combine like terms: 5 + -3 = 2
-1.2 + 0.2d = 2 + 0.3d + 0.1d

Combine like terms: 0.3d + 0.1d = 0.4d
-1.2 + 0.2d = 2 + 0.4d

Solving
-1.2 + 0.2d = 2 + 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.
-1.2 + 0.2d + -0.4d = 2 + 0.4d + -0.4d

Combine like terms: 0.2d + -0.4d = -0.2d
-1.2 + -0.2d = 2 + 0.4d + -0.4d

Combine like terms: 0.4d + -0.4d = 0.0
-1.2 + -0.2d = 2 + 0.0
-1.2 + -0.2d = 2

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.2d = 2 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.2d = 2 + 1.2
-0.2d = 2 + 1.2

Combine like terms: 2 + 1.2 = 3.2
-0.2d = 3.2

Divide each side by '-0.2'.
d = -16

Simplifying
d = -16