6(b-1)=7b+13

Solution for 6(b-1)=7b+13 equation:

Simplifying
6(b + -1) = 7b + 13

Reorder the terms:
6(-1 + b) = 7b + 13
(-1 * 6 + b * 6) = 7b + 13
(-6 + 6b) = 7b + 13

Reorder the terms:
-6 + 6b = 13 + 7b

Solving
-6 + 6b = 13 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
-6 + 6b + -7b = 13 + 7b + -7b

Combine like terms: 6b + -7b = -1b
-6 + -1b = 13 + 7b + -7b

Combine like terms: 7b + -7b = 0
-6 + -1b = 13 + 0
-6 + -1b = 13

Add '6' to each side of the equation.
-6 + 6 + -1b = 13 + 6

Combine like terms: -6 + 6 = 0
0 + -1b = 13 + 6
-1b = 13 + 6

Combine like terms: 13 + 6 = 19
-1b = 19

Divide each side by '-1'.
b = -19

Simplifying
b = -19