3a+1=3.6(a-1)

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

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

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

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

Solving
1 + 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.
1 + 3a + -3.6a = -3.6 + 3.6a + -3.6a

Combine like terms: 3a + -3.6a = -0.6a
1 + -0.6a = -3.6 + 3.6a + -3.6a

Combine like terms: 3.6a + -3.6a = 0.0
1 + -0.6a = -3.6 + 0.0
1 + -0.6a = -3.6

Add '-1' to each side of the equation.
1 + -1 + -0.6a = -3.6 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6a = -3.6 + -1
-0.6a = -3.6 + -1

Combine like terms: -3.6 + -1 = -4.6
-0.6a = -4.6

Divide each side by '-0.6'.
a = 7.666666667

Simplifying
a = 7.666666667