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

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

Simplifying
2(5b + -3) = 2(3 + -1b)

Reorder the terms:
2(-3 + 5b) = 2(3 + -1b)
(-3 * 2 + 5b * 2) = 2(3 + -1b)
(-6 + 10b) = 2(3 + -1b)
-6 + 10b = (3 * 2 + -1b * 2)
-6 + 10b = (6 + -2b)

Solving
-6 + 10b = 6 + -2b

Solving for variable 'b'.

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

Add '2b' to each side of the equation.
-6 + 10b + 2b = 6 + -2b + 2b

Combine like terms: 10b + 2b = 12b
-6 + 12b = 6 + -2b + 2b

Combine like terms: -2b + 2b = 0
-6 + 12b = 6 + 0
-6 + 12b = 6

Add '6' to each side of the equation.
-6 + 6 + 12b = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 12b = 6 + 6
12b = 6 + 6

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

Divide each side by '12'.
b = 1

Simplifying
b = 1