6x-2=9x+3

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Solution for 6x-2=9x+3 equation:


Simplifying
6x + -2 = 9x + 3

Reorder the terms:
-2 + 6x = 9x + 3

Reorder the terms:
-2 + 6x = 3 + 9x

Solving
-2 + 6x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 6x + -9x = 3 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-2 + -3x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -3x = 3 + 0
-2 + -3x = 3

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

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

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

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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