2x+6=8x+16

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Solution for 2x+6=8x+16 equation:


Simplifying
2x + 6 = 8x + 16

Reorder the terms:
6 + 2x = 8x + 16

Reorder the terms:
6 + 2x = 16 + 8x

Solving
6 + 2x = 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.
6 + 2x + -8x = 16 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = 16 + 0
6 + -6x = 16

Add '-6' to each side of the equation.
6 + -6 + -6x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = 16 + -6
-6x = 16 + -6

Combine like terms: 16 + -6 = 10
-6x = 10

Divide each side by '-6'.
x = -1.666666667

Simplifying
x = -1.666666667

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