3.6(2a-1)=1.2(a+3)

Solution for 3.6(2a-1)=1.2(a+3) equation:

Simplifying
3.6(2a + -1) = 1.2(a + 3)

Reorder the terms:
3.6(-1 + 2a) = 1.2(a + 3)
(-1 * 3.6 + 2a * 3.6) = 1.2(a + 3)
(-3.6 + 7.2a) = 1.2(a + 3)

Reorder the terms:
-3.6 + 7.2a = 1.2(3 + a)
-3.6 + 7.2a = (3 * 1.2 + a * 1.2)
-3.6 + 7.2a = (3.6 + 1.2a)

Solving
-3.6 + 7.2a = 3.6 + 1.2a

Solving for variable 'a'.

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

Add '-1.2a' to each side of the equation.
-3.6 + 7.2a + -1.2a = 3.6 + 1.2a + -1.2a

Combine like terms: 7.2a + -1.2a = 6a
-3.6 + 6a = 3.6 + 1.2a + -1.2a

Combine like terms: 1.2a + -1.2a = 0.0
-3.6 + 6a = 3.6 + 0.0
-3.6 + 6a = 3.6

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 6a = 3.6 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 6a = 3.6 + 3.6
6a = 3.6 + 3.6

Combine like terms: 3.6 + 3.6 = 7.2
6a = 7.2

Divide each side by '6'.
a = 1.2

Simplifying
a = 1.2