46-3x=6x+17

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Solution for 46-3x=6x+17 equation:


Simplifying
46 + -3x = 6x + 17

Reorder the terms:
46 + -3x = 17 + 6x

Solving
46 + -3x = 17 + 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.
46 + -3x + -6x = 17 + 6x + -6x

Combine like terms: -3x + -6x = -9x
46 + -9x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
46 + -9x = 17 + 0
46 + -9x = 17

Add '-46' to each side of the equation.
46 + -46 + -9x = 17 + -46

Combine like terms: 46 + -46 = 0
0 + -9x = 17 + -46
-9x = 17 + -46

Combine like terms: 17 + -46 = -29
-9x = -29

Divide each side by '-9'.
x = 3.222222222

Simplifying
x = 3.222222222

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