2(x-3)=6x+9

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Solution for 2(x-3)=6x+9 equation:


Simplifying
2(x + -3) = 6x + 9

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

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

Solving
-6 + 2x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 2x + -6x = 9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-6 + -4x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -4x = 9 + 0
-6 + -4x = 9

Add '6' to each side of the equation.
-6 + 6 + -4x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = 9 + 6
-4x = 9 + 6

Combine like terms: 9 + 6 = 15
-4x = 15

Divide each side by '-4'.
x = -3.75

Simplifying
x = -3.75

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