(x-1)=-3x-5

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


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

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

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

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

Solving
-1 + x = -5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1 + x + 3x = -5 + -3x + 3x

Combine like terms: x + 3x = 4x
-1 + 4x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 4x = -5 + 0
-1 + 4x = -5

Add '1' to each side of the equation.
-1 + 1 + 4x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = -5 + 1
4x = -5 + 1

Combine like terms: -5 + 1 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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