6(x-3)+82=2x

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Solution for 6(x-3)+82=2x equation:


Simplifying
6(x + -3) + 82 = 2x

Reorder the terms:
6(-3 + x) + 82 = 2x
(-3 * 6 + x * 6) + 82 = 2x
(-18 + 6x) + 82 = 2x

Reorder the terms:
-18 + 82 + 6x = 2x

Combine like terms: -18 + 82 = 64
64 + 6x = 2x

Solving
64 + 6x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
64 + 6x + -2x = 2x + -2x

Combine like terms: 6x + -2x = 4x
64 + 4x = 2x + -2x

Combine like terms: 2x + -2x = 0
64 + 4x = 0

Add '-64' to each side of the equation.
64 + -64 + 4x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 4x = 0 + -64
4x = 0 + -64

Combine like terms: 0 + -64 = -64
4x = -64

Divide each side by '4'.
x = -16

Simplifying
x = -16

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