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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -6 + 2 = -4
2x = -4 + -3y

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

Simplifying
x = -2 + -1.5y