0.5(d-2)=0.2(d+15)

Solution for 0.5(d-2)=0.2(d+15) equation:

Simplifying
0.5(d + -2) = 0.2(d + 15)

Reorder the terms:
0.5(-2 + d) = 0.2(d + 15)
(-2 * 0.5 + d * 0.5) = 0.2(d + 15)
(-1 + 0.5d) = 0.2(d + 15)

Reorder the terms:
-1 + 0.5d = 0.2(15 + d)
-1 + 0.5d = (15 * 0.2 + d * 0.2)
-1 + 0.5d = (3 + 0.2d)

Solving
-1 + 0.5d = 3 + 0.2d

Solving for variable 'd'.

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

Add '-0.2d' to each side of the equation.
-1 + 0.5d + -0.2d = 3 + 0.2d + -0.2d

Combine like terms: 0.5d + -0.2d = 0.3d
-1 + 0.3d = 3 + 0.2d + -0.2d

Combine like terms: 0.2d + -0.2d = 0.0
-1 + 0.3d = 3 + 0.0
-1 + 0.3d = 3

Add '1' to each side of the equation.
-1 + 1 + 0.3d = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 0.3d = 3 + 1
0.3d = 3 + 1

Combine like terms: 3 + 1 = 4
0.3d = 4

Divide each side by '0.3'.
d = 13.33333333

Simplifying
d = 13.33333333