-2(x-2)+x-6(x+3)+10x=x

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Solution for -2(x-2)+x-6(x+3)+10x=x equation:


Simplifying
-2(x + -2) + x + -6(x + 3) + 10x = x

Reorder the terms:
-2(-2 + x) + x + -6(x + 3) + 10x = x
(-2 * -2 + x * -2) + x + -6(x + 3) + 10x = x
(4 + -2x) + x + -6(x + 3) + 10x = x

Reorder the terms:
4 + -2x + x + -6(3 + x) + 10x = x
4 + -2x + x + (3 * -6 + x * -6) + 10x = x
4 + -2x + x + (-18 + -6x) + 10x = x

Reorder the terms:
4 + -18 + -2x + x + -6x + 10x = x

Combine like terms: 4 + -18 = -14
-14 + -2x + x + -6x + 10x = x

Combine like terms: -2x + x = -1x
-14 + -1x + -6x + 10x = x

Combine like terms: -1x + -6x = -7x
-14 + -7x + 10x = x

Combine like terms: -7x + 10x = 3x
-14 + 3x = x

Solving
-14 + 3x = 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.
-14 + 3x + -1x = x + -1x

Combine like terms: 3x + -1x = 2x
-14 + 2x = x + -1x

Combine like terms: x + -1x = 0
-14 + 2x = 0

Add '14' to each side of the equation.
-14 + 14 + 2x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 0 + 14
2x = 0 + 14

Combine like terms: 0 + 14 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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