3x-6=15x+2

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Solution for 3x-6=15x+2 equation:


Simplifying
3x + -6 = 15x + 2

Reorder the terms:
-6 + 3x = 15x + 2

Reorder the terms:
-6 + 3x = 2 + 15x

Solving
-6 + 3x = 2 + 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.
-6 + 3x + -15x = 2 + 15x + -15x

Combine like terms: 3x + -15x = -12x
-6 + -12x = 2 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + -12x = 2 + 0
-6 + -12x = 2

Add '6' to each side of the equation.
-6 + 6 + -12x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -12x = 2 + 6
-12x = 2 + 6

Combine like terms: 2 + 6 = 8
-12x = 8

Divide each side by '-12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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