0.2[d-6]=0.3d+5-3

Solution for 0.2[d-6]=0.3d+5-3 equation:

Simplifying
0.2[d + -6] = 0.3d + 5 + -3

Reorder the terms:
0.2[-6 + d] = 0.3d + 5 + -3
[-6 * 0.2 + d * 0.2] = 0.3d + 5 + -3
[-1.2 + 0.2d] = 0.3d + 5 + -3

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

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

Solving
-1.2 + 0.2d = 2 + 0.3d

Solving for variable 'd'.

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

Add '-0.3d' to each side of the equation.
-1.2 + 0.2d + -0.3d = 2 + 0.3d + -0.3d

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

Combine like terms: 0.3d + -0.3d = 0.0
-1.2 + -0.1d = 2 + 0.0
-1.2 + -0.1d = 2

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.1d = 2 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.1d = 2 + 1.2
-0.1d = 2 + 1.2

Combine like terms: 2 + 1.2 = 3.2
-0.1d = 3.2

Divide each side by '-0.1'.
d = -32

Simplifying
d = -32