2(x-6)=9x+2

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Solution for 2(x-6)=9x+2 equation:


Simplifying
2(x + -6) = 9x + 2

Reorder the terms:
2(-6 + x) = 9x + 2
(-6 * 2 + x * 2) = 9x + 2
(-12 + 2x) = 9x + 2

Reorder the terms:
-12 + 2x = 2 + 9x

Solving
-12 + 2x = 2 + 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.
-12 + 2x + -9x = 2 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-12 + -7x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
-12 + -7x = 2 + 0
-12 + -7x = 2

Add '12' to each side of the equation.
-12 + 12 + -7x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -7x = 2 + 12
-7x = 2 + 12

Combine like terms: 2 + 12 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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