2a (5-b) = 3b+7 solve for b

Step by step

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

[open bracket]

10a - 2ab = 3b + 7

[solve for b, so we need to move all terms with b to the left]

[-3b on both sides]

10a - 2ab - 3b = 3b + 7 - 3b

10a - 2ab - 3b = 7

[move all those without b to the right]

[-10a on both side]

10a - 2ab - 3b - 10a = 7 - 10a

-2ab - 3b = 7 - 10a

[divide by - 1 through to change b to be positive]

2ab + 3b = 10a - 7

[take b out as the common factor]

b (2a + 3) = 10a - 7

[divide by (2a+3) through]

b = (10a - 7) / (2a+3)