6x-17=3x+6

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Solution for 6x-17=3x+6 equation:


Simplifying
6x + -17 = 3x + 6

Reorder the terms:
-17 + 6x = 3x + 6

Reorder the terms:
-17 + 6x = 6 + 3x

Solving
-17 + 6x = 6 + 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.
-17 + 6x + -3x = 6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-17 + 3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 3x = 6 + 0
-17 + 3x = 6

Add '17' to each side of the equation.
-17 + 17 + 3x = 6 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 6 + 17
3x = 6 + 17

Combine like terms: 6 + 17 = 23
3x = 23

Divide each side by '3'.
x = 7.666666667

Simplifying
x = 7.666666667

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