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

Solution for X-5-2(X-1)=2(3-3) equation:

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

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

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

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

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

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

Multiply 2 * 0
-3 + -1X = 0

Anything times zero is zero.
-3 + -1X = 0

Solving
-3 + -1X = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3 + -1X = 0 + 3

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

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

Divide each side by '-1'.
X = -3

Simplifying
X = -3