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

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


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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -3x = 9 + 6

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

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

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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