3x-10=x-2

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Solution for 3x-10=x-2 equation:


Simplifying
3x + -10 = x + -2

Reorder the terms:
-10 + 3x = x + -2

Reorder the terms:
-10 + 3x = -2 + x

Solving
-10 + 3x = -2 + 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.
-10 + 3x + -1x = -2 + x + -1x

Combine like terms: 3x + -1x = 2x
-10 + 2x = -2 + x + -1x

Combine like terms: x + -1x = 0
-10 + 2x = -2 + 0
-10 + 2x = -2

Add '10' to each side of the equation.
-10 + 10 + 2x = -2 + 10

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

Combine like terms: -2 + 10 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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