6(a-1)=3(a+6)

Solution for 6(a-1)=3(a+6) equation:

Simplifying
6(a + -1) = 3(a + 6)

Reorder the terms:
6(-1 + a) = 3(a + 6)
(-1 * 6 + a * 6) = 3(a + 6)
(-6 + 6a) = 3(a + 6)

Reorder the terms:
-6 + 6a = 3(6 + a)
-6 + 6a = (6 * 3 + a * 3)
-6 + 6a = (18 + 3a)

Solving
-6 + 6a = 18 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-6 + 6a + -3a = 18 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-6 + 3a = 18 + 3a + -3a

Combine like terms: 3a + -3a = 0
-6 + 3a = 18 + 0
-6 + 3a = 18

Add '6' to each side of the equation.
-6 + 6 + 3a = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 3a = 18 + 6
3a = 18 + 6

Combine like terms: 18 + 6 = 24
3a = 24

Divide each side by '3'.
a = 8

Simplifying
a = 8