0.5(2d-6)=0.2(4d-10)

Solution for 0.5(2d-6)=0.2(4d-10) equation:

Simplifying
0.5(2d + -6) = 0.2(4d + -10)

Reorder the terms:
0.5(-6 + 2d) = 0.2(4d + -10)
(-6 * 0.5 + 2d * 0.5) = 0.2(4d + -10)
(-3 + 1d) = 0.2(4d + -10)

Reorder the terms:
-3 + 1d = 0.2(-10 + 4d)
-3 + 1d = (-10 * 0.2 + 4d * 0.2)
-3 + 1d = (-2 + 0.8d)

Solving
-3 + 1d = -2 + 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.
-3 + 1d + -0.8d = -2 + 0.8d + -0.8d

Combine like terms: 1d + -0.8d = 0.2d
-3 + 0.2d = -2 + 0.8d + -0.8d

Combine like terms: 0.8d + -0.8d = 0.0
-3 + 0.2d = -2 + 0.0
-3 + 0.2d = -2

Add '3' to each side of the equation.
-3 + 3 + 0.2d = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 0.2d = -2 + 3
0.2d = -2 + 3

Combine like terms: -2 + 3 = 1
0.2d = 1

Divide each side by '0.2'.
d = 5

Simplifying
d = 5