3x-5=6x-16

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Solution for 3x-5=6x-16 equation:


Simplifying
3x + -5 = 6x + -16

Reorder the terms:
-5 + 3x = 6x + -16

Reorder the terms:
-5 + 3x = -16 + 6x

Solving
-5 + 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.
-5 + 3x + -6x = -16 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-5 + -3x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -3x = -16 + 0
-5 + -3x = -16

Add '5' to each side of the equation.
-5 + 5 + -3x = -16 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -16 + 5
-3x = -16 + 5

Combine like terms: -16 + 5 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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