0.5-0.2(b+4)=0.4(2b-1)

Solution for 0.5-0.2(b+4)=0.4(2b-1) equation:

Simplifying
0.5 + -0.2(b + 4) = 0.4(2b + -1)

Reorder the terms:
0.5 + -0.2(4 + b) = 0.4(2b + -1)
0.5 + (4 * -0.2 + b * -0.2) = 0.4(2b + -1)
0.5 + (-0.8 + -0.2b) = 0.4(2b + -1)

Combine like terms: 0.5 + -0.8 = -0.3
-0.3 + -0.2b = 0.4(2b + -1)

Reorder the terms:
-0.3 + -0.2b = 0.4(-1 + 2b)
-0.3 + -0.2b = (-1 * 0.4 + 2b * 0.4)
-0.3 + -0.2b = (-0.4 + 0.8b)

Solving
-0.3 + -0.2b = -0.4 + 0.8b

Solving for variable 'b'.

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

Add '-0.8b' to each side of the equation.
-0.3 + -0.2b + -0.8b = -0.4 + 0.8b + -0.8b

Combine like terms: -0.2b + -0.8b = -1b
-0.3 + -1b = -0.4 + 0.8b + -0.8b

Combine like terms: 0.8b + -0.8b = 0.0
-0.3 + -1b = -0.4 + 0.0
-0.3 + -1b = -0.4

Add '0.3' to each side of the equation.
-0.3 + 0.3 + -1b = -0.4 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + -1b = -0.4 + 0.3
-1b = -0.4 + 0.3

Combine like terms: -0.4 + 0.3 = -0.1
-1b = -0.1

Divide each side by '-1'.
b = 0.1

Simplifying
b = 0.1