12a-3(a+1)=a+1

Solution for 12a-3(a+1)=a+1 equation:

Simplifying
12a + -3(a + 1) = a + 1

Reorder the terms:
12a + -3(1 + a) = a + 1
12a + (1 * -3 + a * -3) = a + 1
12a + (-3 + -3a) = a + 1

Reorder the terms:
-3 + 12a + -3a = a + 1

Combine like terms: 12a + -3a = 9a
-3 + 9a = a + 1

Reorder the terms:
-3 + 9a = 1 + a

Solving
-3 + 9a = 1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-3 + 9a + -1a = 1 + a + -1a

Combine like terms: 9a + -1a = 8a
-3 + 8a = 1 + a + -1a

Combine like terms: a + -1a = 0
-3 + 8a = 1 + 0
-3 + 8a = 1

Add '3' to each side of the equation.
-3 + 3 + 8a = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 8a = 1 + 3
8a = 1 + 3

Combine like terms: 1 + 3 = 4
8a = 4

Divide each side by '8'.
a = 0.5

Simplifying
a = 0.5