2(x+3)=9x-17

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Solution for 2(x+3)=9x-17 equation:


Simplifying
2(x + 3) = 9x + -17

Reorder the terms:
2(3 + x) = 9x + -17
(3 * 2 + x * 2) = 9x + -17
(6 + 2x) = 9x + -17

Reorder the terms:
6 + 2x = -17 + 9x

Solving
6 + 2x = -17 + 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.
6 + 2x + -9x = -17 + 9x + -9x

Combine like terms: 2x + -9x = -7x
6 + -7x = -17 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -7x = -17 + 0
6 + -7x = -17

Add '-6' to each side of the equation.
6 + -6 + -7x = -17 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -17 + -6
-7x = -17 + -6

Combine like terms: -17 + -6 = -23
-7x = -23

Divide each side by '-7'.
x = 3.285714286

Simplifying
x = 3.285714286

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