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

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


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

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

Reorder the terms:
-9 + 3x = 2(3 + 2x)
-9 + 3x = (3 * 2 + 2x * 2)
-9 + 3x = (6 + 4x)

Solving
-9 + 3x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 3x + -4x = 6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-9 + -1x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -1x = 6 + 0
-9 + -1x = 6

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

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

Combine like terms: 6 + 9 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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