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

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

Simplifying
-2b + 3 = (5b + -3) * 2

Reorder the terms:
3 + -2b = (5b + -3) * 2

Reorder the terms:
3 + -2b = (-3 + 5b) * 2

Reorder the terms for easier multiplication:
3 + -2b = 2(-3 + 5b)
3 + -2b = (-3 * 2 + 5b * 2)
3 + -2b = (-6 + 10b)

Solving
3 + -2b = -6 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
3 + -2b + -10b = -6 + 10b + -10b

Combine like terms: -2b + -10b = -12b
3 + -12b = -6 + 10b + -10b

Combine like terms: 10b + -10b = 0
3 + -12b = -6 + 0
3 + -12b = -6

Add '-3' to each side of the equation.
3 + -3 + -12b = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -12b = -6 + -3
-12b = -6 + -3

Combine like terms: -6 + -3 = -9
-12b = -9

Divide each side by '-12'.
b = 0.75

Simplifying
b = 0.75