3(2x-3)=x+6

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


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

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

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

Solving
-9 + 6x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 6x + -1x = 6 + x + -1x

Combine like terms: 6x + -1x = 5x
-9 + 5x = 6 + x + -1x

Combine like terms: x + -1x = 0
-9 + 5x = 6 + 0
-9 + 5x = 6

Add '9' to each side of the equation.
-9 + 9 + 5x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 6 + 9
5x = 6 + 9

Combine like terms: 6 + 9 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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