3(-5b+1.5)=2-7b

Solution for 3(-5b+1.5)=2-7b equation:

Simplifying
3(-5b + 1.5) = 2 + -7b

Reorder the terms:
3(1.5 + -5b) = 2 + -7b
(1.5 * 3 + -5b * 3) = 2 + -7b
(4.5 + -15b) = 2 + -7b

Solving
4.5 + -15b = 2 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
4.5 + -15b + 7b = 2 + -7b + 7b

Combine like terms: -15b + 7b = -8b
4.5 + -8b = 2 + -7b + 7b

Combine like terms: -7b + 7b = 0
4.5 + -8b = 2 + 0
4.5 + -8b = 2

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -8b = 2 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -8b = 2 + -4.5
-8b = 2 + -4.5

Combine like terms: 2 + -4.5 = -2.5
-8b = -2.5

Divide each side by '-8'.
b = 0.3125

Simplifying
b = 0.3125