5y(2x-1)=y(3+2)+2

Solution for 5y(2x-1)=y(3+2)+2 equation:

Simplifying
5y(2x + -1) = y(3 + 2) + 2

Reorder the terms:
5y(-1 + 2x) = y(3 + 2) + 2
(-1 * 5y + 2x * 5y) = y(3 + 2) + 2

Reorder the terms:
(10xy + -5y) = y(3 + 2) + 2
(10xy + -5y) = y(3 + 2) + 2

Combine like terms: 3 + 2 = 5
10xy + -5y = y(5) + 2

Reorder the terms for easier multiplication:
10xy + -5y = 5y + 2

Reorder the terms:
10xy + -5y = 2 + 5y

Solving
10xy + -5y = 2 + 5y

Solving for variable 'x'.

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

Add '5y' to each side of the equation.
10xy + -5y + 5y = 2 + 5y + 5y

Combine like terms: -5y + 5y = 0
10xy + 0 = 2 + 5y + 5y
10xy = 2 + 5y + 5y

Combine like terms: 5y + 5y = 10y
10xy = 2 + 10y

Divide each side by '10y'.
x = 0.2y-1 + 1

Simplifying
x = 0.2y-1 + 1

Reorder the terms:
x = 1 + 0.2y-1