5x-3x-2=12

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Solution for 5x-3x-2=12 equation: 


Simplifying
5x + -3x + -2 = 12

Reorder the terms:
-2 + 5x + -3x = 12

Combine like terms: 5x + -3x = 2x
-2 + 2x = 12

Solving
-2 + 2x = 12

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 2x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 12 + 2
2x = 12 + 2

Combine like terms: 12 + 2 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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