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

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

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

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

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

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

Remove parenthesis around (3 + x)
-1 + X + -1x = 3 + x + -1(x + -3)

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

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

Combine like terms: 3 + 3 = 6
-1 + X + -1x = 6 + x + -1x

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

Solving
-1 + X + -1x = 6

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 + X + 1 + -1x = 6 + 1

Reorder the terms:
-1 + 1 + X + -1x = 6 + 1

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

Combine like terms: 6 + 1 = 7
X + -1x = 7

Add 'x' to each side of the equation.
X + -1x + x = 7 + x

Combine like terms: -1x + x = 0
X + 0 = 7 + x
X = 7 + x

Simplifying
X = 7 + x