6+2(5-2a)=2a(2+8)

Solution for 6+2(5-2a)=2a(2+8) equation:

Simplifying
6 + 2(5 + -2a) = 2a(2 + 8)
6 + (5 * 2 + -2a * 2) = 2a(2 + 8)
6 + (10 + -4a) = 2a(2 + 8)

Combine like terms: 6 + 10 = 16
16 + -4a = 2a(2 + 8)

Combine like terms: 2 + 8 = 10
16 + -4a = 2a(10)

Reorder the terms for easier multiplication:
16 + -4a = 2 * 10a

Multiply 2 * 10
16 + -4a = 20a

Solving
16 + -4a = 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
16 + -4a + -20a = 20a + -20a

Combine like terms: -4a + -20a = -24a
16 + -24a = 20a + -20a

Combine like terms: 20a + -20a = 0
16 + -24a = 0

Add '-16' to each side of the equation.
16 + -16 + -24a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -24a = 0 + -16
-24a = 0 + -16

Combine like terms: 0 + -16 = -16
-24a = -16

Divide each side by '-24'.
a = 0.6666666667

Simplifying
a = 0.6666666667