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

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


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

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

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

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

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

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

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

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

Solving
2 + x = -3 + -2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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