1.3(8-b)+3.7=5.2

Solution for 1.3(8-b)+3.7=5.2 equation:

Simplifying
1.3(8 + -1b) + 3.7 = 5.2
(8 * 1.3 + -1b * 1.3) + 3.7 = 5.2
(10.4 + -1.3b) + 3.7 = 5.2

Reorder the terms:
10.4 + 3.7 + -1.3b = 5.2

Combine like terms: 10.4 + 3.7 = 14.1
14.1 + -1.3b = 5.2

Solving
14.1 + -1.3b = 5.2

Solving for variable 'b'.

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

Add '-14.1' to each side of the equation.
14.1 + -14.1 + -1.3b = 5.2 + -14.1

Combine like terms: 14.1 + -14.1 = 0.0
0.0 + -1.3b = 5.2 + -14.1
-1.3b = 5.2 + -14.1

Combine like terms: 5.2 + -14.1 = -8.9
-1.3b = -8.9

Divide each side by '-1.3'.
b = 6.846153846

Simplifying
b = 6.846153846