3x-5=6x+12

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Solution for 3x-5=6x+12 equation:


Simplifying
3x + -5 = 6x + 12

Reorder the terms:
-5 + 3x = 6x + 12

Reorder the terms:
-5 + 3x = 12 + 6x

Solving
-5 + 3x = 12 + 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 = 12 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-5 + -3x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -3x = 12 + 0
-5 + -3x = 12

Add '5' to each side of the equation.
-5 + 5 + -3x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 12 + 5
-3x = 12 + 5

Combine like terms: 12 + 5 = 17
-3x = 17

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

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