0.2b-3=0.7b+1.5

Solution for 0.2b-3=0.7b+1.5 equation:

Simplifying
0.2b + -3 = 0.7b + 1.5

Reorder the terms:
-3 + 0.2b = 0.7b + 1.5

Reorder the terms:
-3 + 0.2b = 1.5 + 0.7b

Solving
-3 + 0.2b = 1.5 + 0.7b

Solving for variable 'b'.

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

Add '-0.7b' to each side of the equation.
-3 + 0.2b + -0.7b = 1.5 + 0.7b + -0.7b

Combine like terms: 0.2b + -0.7b = -0.5b
-3 + -0.5b = 1.5 + 0.7b + -0.7b

Combine like terms: 0.7b + -0.7b = 0.0
-3 + -0.5b = 1.5 + 0.0
-3 + -0.5b = 1.5

Add '3' to each side of the equation.
-3 + 3 + -0.5b = 1.5 + 3

Combine like terms: -3 + 3 = 0
0 + -0.5b = 1.5 + 3
-0.5b = 1.5 + 3

Combine like terms: 1.5 + 3 = 4.5
-0.5b = 4.5

Divide each side by '-0.5'.
b = -9

Simplifying
b = -9