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

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

Combine like terms: -1.2 + 5 = 3.8
3.8 + 0.2d + -0.3d = 3 + 0.1d

Combine like terms: 0.2d + -0.3d = -0.1d
3.8 + -0.1d = 3 + 0.1d

Solving
3.8 + -0.1d = 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.
3.8 + -0.1d + -0.1d = 3 + 0.1d + -0.1d

Combine like terms: -0.1d + -0.1d = -0.2d
3.8 + -0.2d = 3 + 0.1d + -0.1d

Combine like terms: 0.1d + -0.1d = 0.0
3.8 + -0.2d = 3 + 0.0
3.8 + -0.2d = 3

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -0.2d = 3 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -0.2d = 3 + -3.8
-0.2d = 3 + -3.8

Combine like terms: 3 + -3.8 = -0.8
-0.2d = -0.8

Divide each side by '-0.2'.
d = 4

Simplifying
d = 4