6(b-5)=3(b+5)

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

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

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

Reorder the terms:
-30 + 6b = 3(5 + b)
-30 + 6b = (5 * 3 + b * 3)
-30 + 6b = (15 + 3b)

Solving
-30 + 6b = 15 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-30 + 6b + -3b = 15 + 3b + -3b

Combine like terms: 6b + -3b = 3b
-30 + 3b = 15 + 3b + -3b

Combine like terms: 3b + -3b = 0
-30 + 3b = 15 + 0
-30 + 3b = 15

Add '30' to each side of the equation.
-30 + 30 + 3b = 15 + 30

Combine like terms: -30 + 30 = 0
0 + 3b = 15 + 30
3b = 15 + 30

Combine like terms: 15 + 30 = 45
3b = 45

Divide each side by '3'.
b = 15

Simplifying
b = 15