3a+2=-3.6(a-1)

Solution for 3a+2=-3.6(a-1) equation:

Simplifying
3a + 2 = -3.6(a + -1)

Reorder the terms:
2 + 3a = -3.6(a + -1)

Reorder the terms:
2 + 3a = -3.6(-1 + a)
2 + 3a = (-1 * -3.6 + a * -3.6)
2 + 3a = (3.6 + -3.6a)

Solving
2 + 3a = 3.6 + -3.6a

Solving for variable 'a'.

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

Add '3.6a' to each side of the equation.
2 + 3a + 3.6a = 3.6 + -3.6a + 3.6a

Combine like terms: 3a + 3.6a = 6.6a
2 + 6.6a = 3.6 + -3.6a + 3.6a

Combine like terms: -3.6a + 3.6a = 0.0
2 + 6.6a = 3.6 + 0.0
2 + 6.6a = 3.6

Add '-2' to each side of the equation.
2 + -2 + 6.6a = 3.6 + -2

Combine like terms: 2 + -2 = 0
0 + 6.6a = 3.6 + -2
6.6a = 3.6 + -2

Combine like terms: 3.6 + -2 = 1.6
6.6a = 1.6

Divide each side by '6.6'.
a = 0.2424242424

Simplifying
a = 0.2424242424