78=3(2+5b)-3

Solution for 78=3(2+5b)-3 equation:

Simplifying
78 = 3(2 + 5b) + -3
78 = (2 * 3 + 5b * 3) + -3
78 = (6 + 15b) + -3

Reorder the terms:
78 = 6 + -3 + 15b

Combine like terms: 6 + -3 = 3
78 = 3 + 15b

Solving
78 = 3 + 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
78 + -15b = 3 + 15b + -15b

Combine like terms: 15b + -15b = 0
78 + -15b = 3 + 0
78 + -15b = 3

Add '-78' to each side of the equation.
78 + -78 + -15b = 3 + -78

Combine like terms: 78 + -78 = 0
0 + -15b = 3 + -78
-15b = 3 + -78

Combine like terms: 3 + -78 = -75
-15b = -75

Divide each side by '-15'.
b = 5

Simplifying
b = 5