(2x-2)=45+x

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Solution for (2x-2)=45+x equation:


Simplifying
(2x + -2) = 45 + x

Reorder the terms:
(-2 + 2x) = 45 + x

Remove parenthesis around (-2 + 2x)
-2 + 2x = 45 + x

Solving
-2 + 2x = 45 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 2x + -1x = 45 + x + -1x

Combine like terms: 2x + -1x = 1x
-2 + 1x = 45 + x + -1x

Combine like terms: x + -1x = 0
-2 + 1x = 45 + 0
-2 + 1x = 45

Add '2' to each side of the equation.
-2 + 2 + 1x = 45 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 45 + 2
1x = 45 + 2

Combine like terms: 45 + 2 = 47
1x = 47

Divide each side by '1'.
x = 47

Simplifying
x = 47

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