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

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


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

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

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

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

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

Combine like terms: -1 + -5 = -6
-6 + x + -3x = 2

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

Solving
-6 + -2x = 2

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 2 + 6
-2x = 2 + 6

Combine like terms: 2 + 6 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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