3(x-1)=6x+9

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Solution for 3(x-1)=6x+9 equation:


Simplifying
3(x + -1) = 6x + 9

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

Reorder the terms:
-3 + 3x = 9 + 6x

Solving
-3 + 3x = 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.
-3 + 3x + -6x = 9 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-3 + -3x = 9 + 0
-3 + -3x = 9

Add '3' to each side of the equation.
-3 + 3 + -3x = 9 + 3

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

Combine like terms: 9 + 3 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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