7(2a+6)=3(a+1)

Solution for 7(2a+6)=3(a+1) equation:

Simplifying
7(2a + 6) = 3(a + 1)

Reorder the terms:
7(6 + 2a) = 3(a + 1)
(6 * 7 + 2a * 7) = 3(a + 1)
(42 + 14a) = 3(a + 1)

Reorder the terms:
42 + 14a = 3(1 + a)
42 + 14a = (1 * 3 + a * 3)
42 + 14a = (3 + 3a)

Solving
42 + 14a = 3 + 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.
42 + 14a + -3a = 3 + 3a + -3a

Combine like terms: 14a + -3a = 11a
42 + 11a = 3 + 3a + -3a

Combine like terms: 3a + -3a = 0
42 + 11a = 3 + 0
42 + 11a = 3

Add '-42' to each side of the equation.
42 + -42 + 11a = 3 + -42

Combine like terms: 42 + -42 = 0
0 + 11a = 3 + -42
11a = 3 + -42

Combine like terms: 3 + -42 = -39
11a = -39

Divide each side by '11'.
a = -3.545454545

Simplifying
a = -3.545454545