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

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


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

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

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

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

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

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

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

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

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

Solving
x = -5 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-2x = -5 + 0
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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