3*x-2=5*x-6

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Solution for 3*x-2=5*x-6 equation: 


Simplifying
3x + -2 = 5x + -6

Reorder the terms:
-2 + 3x = 5x + -6

Reorder the terms:
-2 + 3x = -6 + 5x

Solving
-2 + 3x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 3x + -5x = -6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-2 + -2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -2x = -6 + 0
-2 + -2x = -6

Add '2' to each side of the equation.
-2 + 2 + -2x = -6 + 2

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

Combine like terms: -6 + 2 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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