3x+46=6x-16

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Solution for 3x+46=6x-16 equation:


Simplifying
3x + 46 = 6x + -16

Reorder the terms:
46 + 3x = 6x + -16

Reorder the terms:
46 + 3x = -16 + 6x

Solving
46 + 3x = -16 + 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 = -16 + 6x + -6x

Combine like terms: 3x + -6x = -3x
46 + -3x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
46 + -3x = -16 + 0
46 + -3x = -16

Add '-46' to each side of the equation.
46 + -46 + -3x = -16 + -46

Combine like terms: 46 + -46 = 0
0 + -3x = -16 + -46
-3x = -16 + -46

Combine like terms: -16 + -46 = -62
-3x = -62

Divide each side by '-3'.
x = 20.66666667

Simplifying
x = 20.66666667

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