0.2b-1=0.5(b+1.2)-1.3b

Solution for 0.2b-1=0.5(b+1.2)-1.3b equation:

Simplifying
0.2b + -1 = 0.5(b + 1.2) + -1.3b

Reorder the terms:
-1 + 0.2b = 0.5(b + 1.2) + -1.3b

Reorder the terms:
-1 + 0.2b = 0.5(1.2 + b) + -1.3b
-1 + 0.2b = (1.2 * 0.5 + b * 0.5) + -1.3b
-1 + 0.2b = (0.6 + 0.5b) + -1.3b

Combine like terms: 0.5b + -1.3b = -0.8b
-1 + 0.2b = 0.6 + -0.8b

Solving
-1 + 0.2b = 0.6 + -0.8b

Solving for variable 'b'.

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

Add '0.8b' to each side of the equation.
-1 + 0.2b + 0.8b = 0.6 + -0.8b + 0.8b

Combine like terms: 0.2b + 0.8b = 1b
-1 + 1b = 0.6 + -0.8b + 0.8b

Combine like terms: -0.8b + 0.8b = 0.0
-1 + 1b = 0.6 + 0.0
-1 + 1b = 0.6

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

Combine like terms: -1 + 1 = 0
0 + 1b = 0.6 + 1
1b = 0.6 + 1

Combine like terms: 0.6 + 1 = 1.6
1b = 1.6

Divide each side by '1'.
b = 1.6

Simplifying
b = 1.6