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

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


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

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

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

Solving
-9 + 6x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + 6x + 2x = -6 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-9 + 8x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 8x = -6 + 0
-9 + 8x = -6

Add '9' to each side of the equation.
-9 + 9 + 8x = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = -6 + 9
8x = -6 + 9

Combine like terms: -6 + 9 = 3
8x = 3

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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