3(a-2)=5(d+8)

Solution for 3(a-2)=5(d+8) equation:

Simplifying
3(a + -2) = 5(d + 8)

Reorder the terms:
3(-2 + a) = 5(d + 8)
(-2 * 3 + a * 3) = 5(d + 8)
(-6 + 3a) = 5(d + 8)

Reorder the terms:
-6 + 3a = 5(8 + d)
-6 + 3a = (8 * 5 + d * 5)
-6 + 3a = (40 + 5d)

Solving
-6 + 3a = 40 + 5d

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 3a = 40 + 6 + 5d

Combine like terms: -6 + 6 = 0
0 + 3a = 40 + 6 + 5d
3a = 40 + 6 + 5d

Combine like terms: 40 + 6 = 46
3a = 46 + 5d

Divide each side by '3'.
a = 15.33333333 + 1.666666667d

Simplifying
a = 15.33333333 + 1.666666667d