x+(x-3)=(x+4)-(x+1)

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Solution for x+(x-3)=(x+4)-(x+1) equation:


Simplifying
x + (x + -3) = (x + 4) + -1(x + 1)

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

Remove parenthesis around (-3 + x)
x + -3 + x = (x + 4) + -1(x + 1)

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

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

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

Remove parenthesis around (4 + x)
-3 + 2x = 4 + x + -1(x + 1)

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

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

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

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

Solving
-3 + 2x = 3

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 + 2x = 3 + 3

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

Combine like terms: 3 + 3 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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