3(.5+b*.25)=b

Solution for 3(.5+b*.25)=b equation:

Simplifying
3(0.5 + b * 0.25) = b

Reorder the terms for easier multiplication:
3(0.5 + 0.25b) = b
(0.5 * 3 + 0.25b * 3) = b
(1.5 + 0.75b) = b

Solving
1.5 + 0.75b = b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
1.5 + 0.75b + -1b = b + -1b

Combine like terms: 0.75b + -1b = -0.25b
1.5 + -0.25b = b + -1b

Combine like terms: b + -1b = 0
1.5 + -0.25b = 0

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.25b = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.25b = 0 + -1.5
-0.25b = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.25b = -1.5

Divide each side by '-0.25'.
b = 6

Simplifying
b = 6