5x-2+x=10

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Solution for 5x-2+x=10 equation: 


Simplifying
5x + -2 + x = 10

Reorder the terms:
-2 + 5x + x = 10

Combine like terms: 5x + x = 6x
-2 + 6x = 10

Solving
-2 + 6x = 10

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 + 6x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 10 + 2
6x = 10 + 2

Combine like terms: 10 + 2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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