-3.6a+1.3=0.2(a-3)

Solution for -3.6a+1.3=0.2(a-3) equation:

Simplifying
-3.6a + 1.3 = 0.2(a + -3)

Reorder the terms:
1.3 + -3.6a = 0.2(a + -3)

Reorder the terms:
1.3 + -3.6a = 0.2(-3 + a)
1.3 + -3.6a = (-3 * 0.2 + a * 0.2)
1.3 + -3.6a = (-0.6 + 0.2a)

Solving
1.3 + -3.6a = -0.6 + 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
1.3 + -3.6a + -0.2a = -0.6 + 0.2a + -0.2a

Combine like terms: -3.6a + -0.2a = -3.8a
1.3 + -3.8a = -0.6 + 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
1.3 + -3.8a = -0.6 + 0.0
1.3 + -3.8a = -0.6

Add '-1.3' to each side of the equation.
1.3 + -1.3 + -3.8a = -0.6 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + -3.8a = -0.6 + -1.3
-3.8a = -0.6 + -1.3

Combine like terms: -0.6 + -1.3 = -1.9
-3.8a = -1.9

Divide each side by '-3.8'.
a = 0.5

Simplifying
a = 0.5