3x-100=x-2

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Solution for 3x-100=x-2 equation:


Simplifying
3x + -100 = x + -2

Reorder the terms:
-100 + 3x = x + -2

Reorder the terms:
-100 + 3x = -2 + x

Solving
-100 + 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.
-100 + 3x + -1x = -2 + x + -1x

Combine like terms: 3x + -1x = 2x
-100 + 2x = -2 + x + -1x

Combine like terms: x + -1x = 0
-100 + 2x = -2 + 0
-100 + 2x = -2

Add '100' to each side of the equation.
-100 + 100 + 2x = -2 + 100

Combine like terms: -100 + 100 = 0
0 + 2x = -2 + 100
2x = -2 + 100

Combine like terms: -2 + 100 = 98
2x = 98

Divide each side by '2'.
x = 49

Simplifying
x = 49

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