6x+3=9x-2

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


Simplifying
6x + 3 = 9x + -2

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

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

Solving
3 + 6x = -2 + 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.
3 + 6x + -9x = -2 + 9x + -9x

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

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

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

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

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

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

Simplifying
x = 1.666666667

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