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

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

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

Reorder the terms:
2(3 + x) = 3(x + 2y + -1)
(3 * 2 + x * 2) = 3(x + 2y + -1)
(6 + 2x) = 3(x + 2y + -1)

Reorder the terms:
6 + 2x = 3(-1 + x + 2y)
6 + 2x = (-1 * 3 + x * 3 + 2y * 3)
6 + 2x = (-3 + 3x + 6y)

Solving
6 + 2x = -3 + 3x + 6y

Solving for variable 'x'.

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

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

Combine like terms: 2x + -3x = -1x
6 + -1x = -3 + 3x + -3x + 6y

Combine like terms: 3x + -3x = 0
6 + -1x = -3 + 0 + 6y
6 + -1x = -3 + 6y

Add '-6' to each side of the equation.
6 + -6 + -1x = -3 + -6 + 6y

Combine like terms: 6 + -6 = 0
0 + -1x = -3 + -6 + 6y
-1x = -3 + -6 + 6y

Combine like terms: -3 + -6 = -9
-1x = -9 + 6y

Divide each side by '-1'.
x = 9 + -6y

Simplifying
x = 9 + -6y