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

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

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

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

Remove parenthesis around (3 + x)
x + 3 + x = (x + 5) + -1(x + 2)

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

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

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

Remove parenthesis around (5 + x)
3 + 2x = 5 + x + -1(x + 2)

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

Reorder the terms:
3 + 2x = 5 + -2 + x + -1x

Combine like terms: 5 + -2 = 3
3 + 2x = 3 + x + -1x

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

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

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

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

Solving
2x = 0

Solving for variable 'x'.

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

Divide each side by '2'.
x = 0

Simplifying
x = 0