.2(d-7)=.3(d+8)

Solution for .2(d-7)=.3(d+8) equation:

Simplifying
0.2(d + -7) = 0.3(d + 8)

Reorder the terms:
0.2(-7 + d) = 0.3(d + 8)
(-7 * 0.2 + d * 0.2) = 0.3(d + 8)
(-1.4 + 0.2d) = 0.3(d + 8)

Reorder the terms:
-1.4 + 0.2d = 0.3(8 + d)
-1.4 + 0.2d = (8 * 0.3 + d * 0.3)
-1.4 + 0.2d = (2.4 + 0.3d)

Solving
-1.4 + 0.2d = 2.4 + 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.
-1.4 + 0.2d + -0.3d = 2.4 + 0.3d + -0.3d

Combine like terms: 0.2d + -0.3d = -0.1d
-1.4 + -0.1d = 2.4 + 0.3d + -0.3d

Combine like terms: 0.3d + -0.3d = 0.0
-1.4 + -0.1d = 2.4 + 0.0
-1.4 + -0.1d = 2.4

Add '1.4' to each side of the equation.
-1.4 + 1.4 + -0.1d = 2.4 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -0.1d = 2.4 + 1.4
-0.1d = 2.4 + 1.4

Combine like terms: 2.4 + 1.4 = 3.8
-0.1d = 3.8

Divide each side by '-0.1'.
d = -38

Simplifying
d = -38