3(x+2)=6(x-1)-9

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Solution for 3(x+2)=6(x-1)-9 equation:


Simplifying
3(x + 2) = 6(x + -1) + -9

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

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

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

Combine like terms: -6 + -9 = -15
6 + 3x = -15 + 6x

Solving
6 + 3x = -15 + 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 + 3x + -6x = -15 + 6x + -6x

Combine like terms: 3x + -6x = -3x
6 + -3x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -3x = -15 + 0
6 + -3x = -15

Add '-6' to each side of the equation.
6 + -6 + -3x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -15 + -6
-3x = -15 + -6

Combine like terms: -15 + -6 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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