0.2(d-8)=0.5d+4-5+0.3d

Solution for 0.2(d-8)=0.5d+4-5+0.3d equation:

Simplifying
0.2(d + -8) = 0.5d + 4 + -5 + 0.3d

Reorder the terms:
0.2(-8 + d) = 0.5d + 4 + -5 + 0.3d
(-8 * 0.2 + d * 0.2) = 0.5d + 4 + -5 + 0.3d
(-1.6 + 0.2d) = 0.5d + 4 + -5 + 0.3d

Reorder the terms:
-1.6 + 0.2d = 4 + -5 + 0.5d + 0.3d

Combine like terms: 4 + -5 = -1
-1.6 + 0.2d = -1 + 0.5d + 0.3d

Combine like terms: 0.5d + 0.3d = 0.8d
-1.6 + 0.2d = -1 + 0.8d

Solving
-1.6 + 0.2d = -1 + 0.8d

Solving for variable 'd'.

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

Add '-0.8d' to each side of the equation.
-1.6 + 0.2d + -0.8d = -1 + 0.8d + -0.8d

Combine like terms: 0.2d + -0.8d = -0.6d
-1.6 + -0.6d = -1 + 0.8d + -0.8d

Combine like terms: 0.8d + -0.8d = 0.0
-1.6 + -0.6d = -1 + 0.0
-1.6 + -0.6d = -1

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.6d = -1 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.6d = -1 + 1.6
-0.6d = -1 + 1.6

Combine like terms: -1 + 1.6 = 0.6
-0.6d = 0.6

Divide each side by '-0.6'.
d = -1

Simplifying
d = -1