1.3(1b-4)=2.6+3.9b

Solution for 1.3(1b-4)=2.6+3.9b equation:

Simplifying
1.3(1b + -4) = 2.6 + 3.9b

Reorder the terms:
1.3(-4 + 1b) = 2.6 + 3.9b
(-4 * 1.3 + 1b * 1.3) = 2.6 + 3.9b
(-5.2 + 1.3b) = 2.6 + 3.9b

Solving
-5.2 + 1.3b = 2.6 + 3.9b

Solving for variable 'b'.

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

Add '-3.9b' to each side of the equation.
-5.2 + 1.3b + -3.9b = 2.6 + 3.9b + -3.9b

Combine like terms: 1.3b + -3.9b = -2.6b
-5.2 + -2.6b = 2.6 + 3.9b + -3.9b

Combine like terms: 3.9b + -3.9b = 0.0
-5.2 + -2.6b = 2.6 + 0.0
-5.2 + -2.6b = 2.6

Add '5.2' to each side of the equation.
-5.2 + 5.2 + -2.6b = 2.6 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + -2.6b = 2.6 + 5.2
-2.6b = 2.6 + 5.2

Combine like terms: 2.6 + 5.2 = 7.8
-2.6b = 7.8

Divide each side by '-2.6'.
b = -3

Simplifying
b = -3