6x-8=3x+9

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Solution for 6x-8=3x+9 equation:


Simplifying
6x + -8 = 3x + 9

Reorder the terms:
-8 + 6x = 3x + 9

Reorder the terms:
-8 + 6x = 9 + 3x

Solving
-8 + 6x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 6x + -3x = 9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-8 + 3x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 3x = 9 + 0
-8 + 3x = 9

Add '8' to each side of the equation.
-8 + 8 + 3x = 9 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 9 + 8
3x = 9 + 8

Combine like terms: 9 + 8 = 17
3x = 17

Divide each side by '3'.
x = 5.666666667

Simplifying
x = 5.666666667

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