3x+2=6x-3

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


Simplifying
3x + 2 = 6x + -3

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

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

Solving
2 + 3x = -3 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 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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