x-2=-8x+16

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Solution for x-2=-8x+16 equation:


Simplifying
x + -2 = -8x + 16

Reorder the terms:
-2 + x = -8x + 16

Reorder the terms:
-2 + x = 16 + -8x

Solving
-2 + x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-2 + x + 8x = 16 + -8x + 8x

Combine like terms: x + 8x = 9x
-2 + 9x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-2 + 9x = 16 + 0
-2 + 9x = 16

Add '2' to each side of the equation.
-2 + 2 + 9x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 9x = 16 + 2
9x = 16 + 2

Combine like terms: 16 + 2 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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