3a+2=3(4a+1)

Solution for 3a+2=3(4a+1) equation:

Simplifying
3a + 2 = 3(4a + 1)

Reorder the terms:
2 + 3a = 3(4a + 1)

Reorder the terms:
2 + 3a = 3(1 + 4a)
2 + 3a = (1 * 3 + 4a * 3)
2 + 3a = (3 + 12a)

Solving
2 + 3a = 3 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
2 + 3a + -12a = 3 + 12a + -12a

Combine like terms: 3a + -12a = -9a
2 + -9a = 3 + 12a + -12a

Combine like terms: 12a + -12a = 0
2 + -9a = 3 + 0
2 + -9a = 3

Add '-2' to each side of the equation.
2 + -2 + -9a = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -9a = 3 + -2
-9a = 3 + -2

Combine like terms: 3 + -2 = 1
-9a = 1

Divide each side by '-9'.
a = -0.1111111111

Simplifying
a = -0.1111111111