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

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


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

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

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

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

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

Combine like terms: -4x + 4x = 0
1 + 3x = -2 + 0
1 + 3x = -2

Add '-1' to each side of the equation.
1 + -1 + 3x = -2 + -1

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

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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