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

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

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

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

Reorder the terms:
-4 + 3 + 2X = x + -3(x + 1)

Combine like terms: -4 + 3 = -1
-1 + 2X = x + -3(x + 1)

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

Reorder the terms:
-1 + 2X = -3 + x + -3x

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

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

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1 + 2X = -3 + 1 + -2x

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

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

Divide each side by '2'.
X = -1 + -1x

Simplifying
X = -1 + -1x