2(a-3)=8a+6(a+7)

Solution for 2(a-3)=8a+6(a+7) equation:

Simplifying
2(a + -3) = 8a + 6(a + 7)

Reorder the terms:
2(-3 + a) = 8a + 6(a + 7)
(-3 * 2 + a * 2) = 8a + 6(a + 7)
(-6 + 2a) = 8a + 6(a + 7)

Reorder the terms:
-6 + 2a = 8a + 6(7 + a)
-6 + 2a = 8a + (7 * 6 + a * 6)
-6 + 2a = 8a + (42 + 6a)

Reorder the terms:
-6 + 2a = 42 + 8a + 6a

Combine like terms: 8a + 6a = 14a
-6 + 2a = 42 + 14a

Solving
-6 + 2a = 42 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
-6 + 2a + -14a = 42 + 14a + -14a

Combine like terms: 2a + -14a = -12a
-6 + -12a = 42 + 14a + -14a

Combine like terms: 14a + -14a = 0
-6 + -12a = 42 + 0
-6 + -12a = 42

Add '6' to each side of the equation.
-6 + 6 + -12a = 42 + 6

Combine like terms: -6 + 6 = 0
0 + -12a = 42 + 6
-12a = 42 + 6

Combine like terms: 42 + 6 = 48
-12a = 48

Divide each side by '-12'.
a = -4

Simplifying
a = -4