0.2(d-6)=0.3d+5-30.1d

Solution for 0.2(d-6)=0.3d+5-30.1d equation:

Simplifying
0.2(d + -6) = 0.3d + 5 + -30.1d

Reorder the terms:
0.2(-6 + d) = 0.3d + 5 + -30.1d
(-6 * 0.2 + d * 0.2) = 0.3d + 5 + -30.1d
(-1.2 + 0.2d) = 0.3d + 5 + -30.1d

Reorder the terms:
-1.2 + 0.2d = 5 + 0.3d + -30.1d

Combine like terms: 0.3d + -30.1d = -29.8d
-1.2 + 0.2d = 5 + -29.8d

Solving
-1.2 + 0.2d = 5 + -29.8d

Solving for variable 'd'.

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

Add '29.8d' to each side of the equation.
-1.2 + 0.2d + 29.8d = 5 + -29.8d + 29.8d

Combine like terms: 0.2d + 29.8d = 30d
-1.2 + 30d = 5 + -29.8d + 29.8d

Combine like terms: -29.8d + 29.8d = 0.0
-1.2 + 30d = 5 + 0.0
-1.2 + 30d = 5

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 30d = 5 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 30d = 5 + 1.2
30d = 5 + 1.2

Combine like terms: 5 + 1.2 = 6.2
30d = 6.2

Divide each side by '30'.
d = 0.2066666667

Simplifying
d = 0.2066666667