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

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

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

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

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

Solving
12 + 3a = 2 + 2a

Solving for variable 'a'.

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

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

Combine like terms: 3a + -2a = 1a
12 + 1a = 2 + 2a + -2a

Combine like terms: 2a + -2a = 0
12 + 1a = 2 + 0
12 + 1a = 2

Add '-12' to each side of the equation.
12 + -12 + 1a = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 1a = 2 + -12
1a = 2 + -12

Combine like terms: 2 + -12 = -10
1a = -10

Divide each side by '1'.
a = -10

Simplifying
a = -10