2(x+8)=4x-17

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Solution for 2(x+8)=4x-17 equation: 


Simplifying
2(x + 8) = 4x + -17

Reorder the terms:
2(8 + x) = 4x + -17
(8 * 2 + x * 2) = 4x + -17
(16 + 2x) = 4x + -17

Reorder the terms:
16 + 2x = -17 + 4x

Solving
16 + 2x = -17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 2x + -4x = -17 + 4x + -4x

Combine like terms: 2x + -4x = -2x
16 + -2x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -2x = -17 + 0
16 + -2x = -17

Add '-16' to each side of the equation.
16 + -16 + -2x = -17 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -17 + -16
-2x = -17 + -16

Combine like terms: -17 + -16 = -33
-2x = -33

Divide each side by '-2'.
x = 16.5

Simplifying
x = 16.5

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