X-3*(X-2)=5-(X-3)

Solution for X-3*(X-2)=5-(X-3) equation:

Simplifying
X + -3(X + -2) = 5 + -1(X + -3)

Reorder the terms:
X + -3(-2 + X) = 5 + -1(X + -3)
X + (-2 * -3 + X * -3) = 5 + -1(X + -3)
X + (6 + -3X) = 5 + -1(X + -3)

Reorder the terms:
6 + X + -3X = 5 + -1(X + -3)

Combine like terms: X + -3X = -2X
6 + -2X = 5 + -1(X + -3)

Reorder the terms:
6 + -2X = 5 + -1(-3 + X)
6 + -2X = 5 + (-3 * -1 + X * -1)
6 + -2X = 5 + (3 + -1X)

Combine like terms: 5 + 3 = 8
6 + -2X = 8 + -1X

Solving
6 + -2X = 8 + -1X

Solving for variable 'X'.

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

Add 'X' to each side of the equation.
6 + -2X + X = 8 + -1X + X

Combine like terms: -2X + X = -1X
6 + -1X = 8 + -1X + X

Combine like terms: -1X + X = 0
6 + -1X = 8 + 0
6 + -1X = 8

Add '-6' to each side of the equation.
6 + -6 + -1X = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = 8 + -6
-1X = 8 + -6

Combine like terms: 8 + -6 = 2
-1X = 2

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

Simplifying
X = -2