3(4a+1)=14a

Solution for 3(4a+1)=14a equation:

Simplifying
3(4a + 1) = 14a

Reorder the terms:
3(1 + 4a) = 14a
(1 * 3 + 4a * 3) = 14a
(3 + 12a) = 14a

Solving
3 + 12a = 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.
3 + 12a + -14a = 14a + -14a

Combine like terms: 12a + -14a = -2a
3 + -2a = 14a + -14a

Combine like terms: 14a + -14a = 0
3 + -2a = 0

Add '-3' to each side of the equation.
3 + -3 + -2a = 0 + -3

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

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

Divide each side by '-2'.
a = 1.5

Simplifying
a = 1.5