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

Combine like terms: -1.3b + 3.7b = 2.4b
10.4 + 2.4b = 5.2

Solving
10.4 + 2.4b = 5.2

Solving for variable 'b'.

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

Add '-10.4' to each side of the equation.
10.4 + -10.4 + 2.4b = 5.2 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + 2.4b = 5.2 + -10.4
2.4b = 5.2 + -10.4

Combine like terms: 5.2 + -10.4 = -5.2
2.4b = -5.2

Divide each side by '2.4'.
b = -2.166666667

Simplifying
b = -2.166666667