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

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

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

Reorder the terms:
2(2 + x) + -3(x + 2) = 5(2 + -1y)
(2 * 2 + x * 2) + -3(x + 2) = 5(2 + -1y)
(4 + 2x) + -3(x + 2) = 5(2 + -1y)

Reorder the terms:
4 + 2x + -3(2 + x) = 5(2 + -1y)
4 + 2x + (2 * -3 + x * -3) = 5(2 + -1y)
4 + 2x + (-6 + -3x) = 5(2 + -1y)

Reorder the terms:
4 + -6 + 2x + -3x = 5(2 + -1y)

Combine like terms: 4 + -6 = -2
-2 + 2x + -3x = 5(2 + -1y)

Combine like terms: 2x + -3x = -1x
-2 + -1x = 5(2 + -1y)
-2 + -1x = (2 * 5 + -1y * 5)
-2 + -1x = (10 + -5y)

Solving
-2 + -1x = 10 + -5y

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 = 10 + 2 + -5y

Combine like terms: -2 + 2 = 0
0 + -1x = 10 + 2 + -5y
-1x = 10 + 2 + -5y

Combine like terms: 10 + 2 = 12
-1x = 12 + -5y

Divide each side by '-1'.
x = -12 + 5y

Simplifying
x = -12 + 5y