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

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

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

Reorder the terms:
2(-3 + 5b) = 6b + 6
(-3 * 2 + 5b * 2) = 6b + 6
(-6 + 10b) = 6b + 6

Reorder the terms:
-6 + 10b = 6 + 6b

Solving
-6 + 10b = 6 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-6 + 10b + -6b = 6 + 6b + -6b

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

Combine like terms: 6b + -6b = 0
-6 + 4b = 6 + 0
-6 + 4b = 6

Add '6' to each side of the equation.
-6 + 6 + 4b = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4b = 6 + 6
4b = 6 + 6

Combine like terms: 6 + 6 = 12
4b = 12

Divide each side by '4'.
b = 3

Simplifying
b = 3