1.2(b+6)=3.2b-1

Solution for 1.2(b+6)=3.2b-1 equation:

Simplifying
1.2(b + 6) = 3.2b + -1

Reorder the terms:
1.2(6 + b) = 3.2b + -1
(6 * 1.2 + b * 1.2) = 3.2b + -1
(7.2 + 1.2b) = 3.2b + -1

Reorder the terms:
7.2 + 1.2b = -1 + 3.2b

Solving
7.2 + 1.2b = -1 + 3.2b

Solving for variable 'b'.

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

Add '-3.2b' to each side of the equation.
7.2 + 1.2b + -3.2b = -1 + 3.2b + -3.2b

Combine like terms: 1.2b + -3.2b = -2b
7.2 + -2b = -1 + 3.2b + -3.2b

Combine like terms: 3.2b + -3.2b = 0.0
7.2 + -2b = -1 + 0.0
7.2 + -2b = -1

Add '-7.2' to each side of the equation.
7.2 + -7.2 + -2b = -1 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + -2b = -1 + -7.2
-2b = -1 + -7.2

Combine like terms: -1 + -7.2 = -8.2
-2b = -8.2

Divide each side by '-2'.
b = 4.1

Simplifying
b = 4.1