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

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

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

Reorder the terms:
2(3 + x) = 3(y + 2) + 5
(3 * 2 + x * 2) = 3(y + 2) + 5
(6 + 2x) = 3(y + 2) + 5

Reorder the terms:
6 + 2x = 3(2 + y) + 5
6 + 2x = (2 * 3 + y * 3) + 5
6 + 2x = (6 + 3y) + 5

Reorder the terms:
6 + 2x = 6 + 5 + 3y

Combine like terms: 6 + 5 = 11
6 + 2x = 11 + 3y

Solving
6 + 2x = 11 + 3y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 11 + -6 + 3y

Combine like terms: 6 + -6 = 0
0 + 2x = 11 + -6 + 3y
2x = 11 + -6 + 3y

Combine like terms: 11 + -6 = 5
2x = 5 + 3y

Divide each side by '2'.
x = 2.5 + 1.5y

Simplifying
x = 2.5 + 1.5y