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

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


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

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

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

Combine like terms: -5x + 2x = -3x
-2 + -3x = x + (3x + -5)

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

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

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

Combine like terms: x + 3x = 4x
-2 + -3x = -5 + 4x

Solving
-2 + -3x = -5 + 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.
-2 + -3x + -4x = -5 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-2 + -7x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -7x = -5 + 0
-2 + -7x = -5

Add '2' to each side of the equation.
-2 + 2 + -7x = -5 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -5 + 2
-7x = -5 + 2

Combine like terms: -5 + 2 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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