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

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


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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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