2(x-4)=(x+2)-10x

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Solution for 2(x-4)=(x+2)-10x equation:


Simplifying
2(x + -4) = (x + 2) + -10x

Reorder the terms:
2(-4 + x) = (x + 2) + -10x
(-4 * 2 + x * 2) = (x + 2) + -10x
(-8 + 2x) = (x + 2) + -10x

Reorder the terms:
-8 + 2x = (2 + x) + -10x

Remove parenthesis around (2 + x)
-8 + 2x = 2 + x + -10x

Combine like terms: x + -10x = -9x
-8 + 2x = 2 + -9x

Solving
-8 + 2x = 2 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-8 + 2x + 9x = 2 + -9x + 9x

Combine like terms: 2x + 9x = 11x
-8 + 11x = 2 + -9x + 9x

Combine like terms: -9x + 9x = 0
-8 + 11x = 2 + 0
-8 + 11x = 2

Add '8' to each side of the equation.
-8 + 8 + 11x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 11x = 2 + 8
11x = 2 + 8

Combine like terms: 2 + 8 = 10
11x = 10

Divide each side by '11'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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