(2x-2)=(3x-21)

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Solution for (2x-2)=(3x-21) equation:


Simplifying
(2x + -2) = (3x + -21)

Reorder the terms:
(-2 + 2x) = (3x + -21)

Remove parenthesis around (-2 + 2x)
-2 + 2x = (3x + -21)

Reorder the terms:
-2 + 2x = (-21 + 3x)

Remove parenthesis around (-21 + 3x)
-2 + 2x = -21 + 3x

Solving
-2 + 2x = -21 + 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.
-2 + 2x + -3x = -21 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1x = -21 + 0
-2 + -1x = -21

Add '2' to each side of the equation.
-2 + 2 + -1x = -21 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -21 + 2
-1x = -21 + 2

Combine like terms: -21 + 2 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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