5x-5=2-2x+7

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Solution for 5x-5=2-2x+7 equation:


Simplifying
5x + -5 = 2 + -2x + 7

Reorder the terms:
-5 + 5x = 2 + -2x + 7

Reorder the terms:
-5 + 5x = 2 + 7 + -2x

Combine like terms: 2 + 7 = 9
-5 + 5x = 9 + -2x

Solving
-5 + 5x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 5x + 2x = 9 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-5 + 7x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 7x = 9 + 0
-5 + 7x = 9

Add '5' to each side of the equation.
-5 + 5 + 7x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 9 + 5
7x = 9 + 5

Combine like terms: 9 + 5 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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