1.3(g-b)+3.7b=-5.2

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

Simplifying
1.3(g + -1b) + 3.7b = -5.2

Reorder the terms:
1.3(-1b + g) + 3.7b = -5.2
(-1b * 1.3 + g * 1.3) + 3.7b = -5.2
(-1.3b + 1.3g) + 3.7b = -5.2

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

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

Solving
2.4b + 1.3g = -5.2

Solving for variable 'b'.

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

Add '-1.3g' to each side of the equation.
2.4b + 1.3g + -1.3g = -5.2 + -1.3g

Combine like terms: 1.3g + -1.3g = 0.0
2.4b + 0.0 = -5.2 + -1.3g
2.4b = -5.2 + -1.3g

Divide each side by '2.4'.
b = -2.166666667 + -0.5416666667g

Simplifying
b = -2.166666667 + -0.5416666667g