2(3x-6)-3(5-x)=9

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Solution for 2(3x-6)-3(5-x)=9 equation:


Simplifying
2(3x + -6) + -3(5 + -1x) = 9

Reorder the terms:
2(-6 + 3x) + -3(5 + -1x) = 9
(-6 * 2 + 3x * 2) + -3(5 + -1x) = 9
(-12 + 6x) + -3(5 + -1x) = 9
-12 + 6x + (5 * -3 + -1x * -3) = 9
-12 + 6x + (-15 + 3x) = 9

Reorder the terms:
-12 + -15 + 6x + 3x = 9

Combine like terms: -12 + -15 = -27
-27 + 6x + 3x = 9

Combine like terms: 6x + 3x = 9x
-27 + 9x = 9

Solving
-27 + 9x = 9

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 9x = 9 + 27

Combine like terms: -27 + 27 = 0
0 + 9x = 9 + 27
9x = 9 + 27

Combine like terms: 9 + 27 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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