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

Solution for 0.2(d-6)=0.3+5-3-0.1d equation:

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

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

Combine like terms: 0.3 + 5 = 5.3
-1.2 + 0.2d = 5.3 + -3 + -0.1d

Combine like terms: 5.3 + -3 = 2.3
-1.2 + 0.2d = 2.3 + -0.1d

Solving
-1.2 + 0.2d = 2.3 + -0.1d

Solving for variable 'd'.

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

Add '0.1d' to each side of the equation.
-1.2 + 0.2d + 0.1d = 2.3 + -0.1d + 0.1d

Combine like terms: 0.2d + 0.1d = 0.3d
-1.2 + 0.3d = 2.3 + -0.1d + 0.1d

Combine like terms: -0.1d + 0.1d = 0.0
-1.2 + 0.3d = 2.3 + 0.0
-1.2 + 0.3d = 2.3

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.3d = 2.3 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.3d = 2.3 + 1.2
0.3d = 2.3 + 1.2

Combine like terms: 2.3 + 1.2 = 3.5
0.3d = 3.5

Divide each side by '0.3'.
d = 11.66666667

Simplifying
d = 11.66666667