6+2(5+3a)=2a(2+8)

Solution for 6+2(5+3a)=2a(2+8) equation:

Simplifying
6 + 2(5 + 3a) = 2a(2 + 8)
6 + (5 * 2 + 3a * 2) = 2a(2 + 8)
6 + (10 + 6a) = 2a(2 + 8)

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

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

Reorder the terms for easier multiplication:
16 + 6a = 2 * 10a

Multiply 2 * 10
16 + 6a = 20a

Solving
16 + 6a = 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 + 6a + -20a = 20a + -20a

Combine like terms: 6a + -20a = -14a
16 + -14a = 20a + -20a

Combine like terms: 20a + -20a = 0
16 + -14a = 0

Add '-16' to each side of the equation.
16 + -16 + -14a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -14a = 0 + -16
-14a = 0 + -16

Combine like terms: 0 + -16 = -16
-14a = -16

Divide each side by '-14'.
a = 1.142857143

Simplifying
a = 1.142857143