2(3x+1)=9x-34

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Solution for 2(3x+1)=9x-34 equation: 


Simplifying
2(3x + 1) = 9x + -34

Reorder the terms:
2(1 + 3x) = 9x + -34
(1 * 2 + 3x * 2) = 9x + -34
(2 + 6x) = 9x + -34

Reorder the terms:
2 + 6x = -34 + 9x

Solving
2 + 6x = -34 + 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.
2 + 6x + -9x = -34 + 9x + -9x

Combine like terms: 6x + -9x = -3x
2 + -3x = -34 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -3x = -34 + 0
2 + -3x = -34

Add '-2' to each side of the equation.
2 + -2 + -3x = -34 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -34 + -2
-3x = -34 + -2

Combine like terms: -34 + -2 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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