0.6(7b-1)=(b-5)

Solution for 0.6(7b-1)=(b-5) equation:

Simplifying
0.6(7b + -1) = (b + -5)

Reorder the terms:
0.6(-1 + 7b) = (b + -5)
(-1 * 0.6 + 7b * 0.6) = (b + -5)
(-0.6 + 4.2b) = (b + -5)

Reorder the terms:
-0.6 + 4.2b = (-5 + b)

Remove parenthesis around (-5 + b)
-0.6 + 4.2b = -5 + b

Solving
-0.6 + 4.2b = -5 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
-0.6 + 4.2b + -1b = -5 + b + -1b

Combine like terms: 4.2b + -1b = 3.2b
-0.6 + 3.2b = -5 + b + -1b

Combine like terms: b + -1b = 0
-0.6 + 3.2b = -5 + 0
-0.6 + 3.2b = -5

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 3.2b = -5 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 3.2b = -5 + 0.6
3.2b = -5 + 0.6

Combine like terms: -5 + 0.6 = -4.4
3.2b = -4.4

Divide each side by '3.2'.
b = -1.375

Simplifying
b = -1.375