3(2x-6)-(5x-2)=x

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Solution for 3(2x-6)-(5x-2)=x equation:


Simplifying
3(2x + -6) + -1(5x + -2) = x

Reorder the terms:
3(-6 + 2x) + -1(5x + -2) = x
(-6 * 3 + 2x * 3) + -1(5x + -2) = x
(-18 + 6x) + -1(5x + -2) = x

Reorder the terms:
-18 + 6x + -1(-2 + 5x) = x
-18 + 6x + (-2 * -1 + 5x * -1) = x
-18 + 6x + (2 + -5x) = x

Reorder the terms:
-18 + 2 + 6x + -5x = x

Combine like terms: -18 + 2 = -16
-16 + 6x + -5x = x

Combine like terms: 6x + -5x = 1x
-16 + 1x = x

Solving
-16 + 1x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + 1x + -1x = x + -1x

Combine like terms: 1x + -1x = 0
-16 + 0 = x + -1x
-16 = x + -1x

Combine like terms: x + -1x = 0
-16 = 0

Add '16' to each side of the equation.
-16 + 16 = 0 + 16

Combine like terms: -16 + 16 = 0
0 = 0 + 16

Combine like terms: 0 + 16 = 16
0 = 16

Simplifying
0 = 16

Combine like terms: 0 + -16 = -16
-16 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 = 0

The solution to this equation could not be determined.

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