5x-2=2x-38

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Solution for 5x-2=2x-38 equation: 


Simplifying
5x + -2 = 2x + -38

Reorder the terms:
-2 + 5x = 2x + -38

Reorder the terms:
-2 + 5x = -38 + 2x

Solving
-2 + 5x = -38 + 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.
-2 + 5x + -2x = -38 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-2 + 3x = -38 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 3x = -38 + 0
-2 + 3x = -38

Add '2' to each side of the equation.
-2 + 2 + 3x = -38 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = -38 + 2
3x = -38 + 2

Combine like terms: -38 + 2 = -36
3x = -36

Divide each side by '3'.
x = -12

Simplifying
x = -12

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