-[x-2]=x-5-3x

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Solution for -[x-2]=x-5-3x equation:


Simplifying
-1[x + -2] = x + -5 + -3x

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

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

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

Solving
2 + -1x = -5 + -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 + -1x + 2x = -5 + -2x + 2x

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

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

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

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

Combine like terms: -5 + -2 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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