(x-1)=-4x-2

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Solution for (x-1)=-4x-2 equation:


Simplifying
(x + -1) = -4x + -2

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

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

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

Solving
-1 + x = -2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-1 + x + 4x = -2 + -4x + 4x

Combine like terms: x + 4x = 5x
-1 + 5x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 5x = -2 + 0
-1 + 5x = -2

Add '1' to each side of the equation.
-1 + 1 + 5x = -2 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = -2 + 1
5x = -2 + 1

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

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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