6(b-5)-2(3-2b)=-46

Solution for 6(b-5)-2(3-2b)=-46 equation:

Simplifying
6(b + -5) + -2(3 + -2b) = -46

Reorder the terms:
6(-5 + b) + -2(3 + -2b) = -46
(-5 * 6 + b * 6) + -2(3 + -2b) = -46
(-30 + 6b) + -2(3 + -2b) = -46
-30 + 6b + (3 * -2 + -2b * -2) = -46
-30 + 6b + (-6 + 4b) = -46

Reorder the terms:
-30 + -6 + 6b + 4b = -46

Combine like terms: -30 + -6 = -36
-36 + 6b + 4b = -46

Combine like terms: 6b + 4b = 10b
-36 + 10b = -46

Solving
-36 + 10b = -46

Solving for variable 'b'.

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

Add '36' to each side of the equation.
-36 + 36 + 10b = -46 + 36

Combine like terms: -36 + 36 = 0
0 + 10b = -46 + 36
10b = -46 + 36

Combine like terms: -46 + 36 = -10
10b = -10

Divide each side by '10'.
b = -1

Simplifying
b = -1