1.3(8-b)+3-7b=-5.2

Solution for 1.3(8-b)+3-7b=-5.2 equation:

Simplifying
1.3(8 + -1b) + 3 + -7b = -5.2
(8 * 1.3 + -1b * 1.3) + 3 + -7b = -5.2
(10.4 + -1.3b) + 3 + -7b = -5.2

Reorder the terms:
10.4 + 3 + -1.3b + -7b = -5.2

Combine like terms: 10.4 + 3 = 13.4
13.4 + -1.3b + -7b = -5.2

Combine like terms: -1.3b + -7b = -8.3b
13.4 + -8.3b = -5.2

Solving
13.4 + -8.3b = -5.2

Solving for variable 'b'.

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

Add '-13.4' to each side of the equation.
13.4 + -13.4 + -8.3b = -5.2 + -13.4

Combine like terms: 13.4 + -13.4 = 0.0
0.0 + -8.3b = -5.2 + -13.4
-8.3b = -5.2 + -13.4

Combine like terms: -5.2 + -13.4 = -18.6
-8.3b = -18.6

Divide each side by '-8.3'.
b = 2.240963855

Simplifying
b = 2.240963855