3(5b-1)=2(7b+2)

Solution for 3(5b-1)=2(7b+2) equation:

Simplifying
3(5b + -1) = 2(7b + 2)

Reorder the terms:
3(-1 + 5b) = 2(7b + 2)
(-1 * 3 + 5b * 3) = 2(7b + 2)
(-3 + 15b) = 2(7b + 2)

Reorder the terms:
-3 + 15b = 2(2 + 7b)
-3 + 15b = (2 * 2 + 7b * 2)
-3 + 15b = (4 + 14b)

Solving
-3 + 15b = 4 + 14b

Solving for variable 'b'.

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

Add '-14b' to each side of the equation.
-3 + 15b + -14b = 4 + 14b + -14b

Combine like terms: 15b + -14b = 1b
-3 + 1b = 4 + 14b + -14b

Combine like terms: 14b + -14b = 0
-3 + 1b = 4 + 0
-3 + 1b = 4

Add '3' to each side of the equation.
-3 + 3 + 1b = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 1b = 4 + 3
1b = 4 + 3

Combine like terms: 4 + 3 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7