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

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

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

Reorder the terms:
3(2 + a) = 4(1 + -1a)
(2 * 3 + a * 3) = 4(1 + -1a)
(6 + 3a) = 4(1 + -1a)
6 + 3a = (1 * 4 + -1a * 4)
6 + 3a = (4 + -4a)

Solving
6 + 3a = 4 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + 3a + 4a = 4 + -4a + 4a

Combine like terms: 3a + 4a = 7a
6 + 7a = 4 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 7a = 4 + 0
6 + 7a = 4

Add '-6' to each side of the equation.
6 + -6 + 7a = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 7a = 4 + -6
7a = 4 + -6

Combine like terms: 4 + -6 = -2
7a = -2

Divide each side by '7'.
a = -0.2857142857

Simplifying
a = -0.2857142857