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

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

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

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

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

Solving
2 + -1x = 3 + 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 + -1x = 3 + -2 + 3y

Combine like terms: 2 + -2 = 0
0 + -1x = 3 + -2 + 3y
-1x = 3 + -2 + 3y

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

Divide each side by '-1'.
x = -1 + -3y

Simplifying
x = -1 + -3y