2(x-9)=8(x+2)

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Solution for 2(x-9)=8(x+2) equation: 


Simplifying
2(x + -9) = 8(x + 2)

Reorder the terms:
2(-9 + x) = 8(x + 2)
(-9 * 2 + x * 2) = 8(x + 2)
(-18 + 2x) = 8(x + 2)

Reorder the terms:
-18 + 2x = 8(2 + x)
-18 + 2x = (2 * 8 + x * 8)
-18 + 2x = (16 + 8x)

Solving
-18 + 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.
-18 + 2x + -8x = 16 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-18 + -6x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-18 + -6x = 16 + 0
-18 + -6x = 16

Add '18' to each side of the equation.
-18 + 18 + -6x = 16 + 18

Combine like terms: -18 + 18 = 0
0 + -6x = 16 + 18
-6x = 16 + 18

Combine like terms: 16 + 18 = 34
-6x = 34

Divide each side by '-6'.
x = -5.666666667

Simplifying
x = -5.666666667

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