3(3x-2)=-2(8-2x)

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Solution for 3(3x-2)=-2(8-2x) equation:


Simplifying
3(3x + -2) = -2(8 + -2x)

Reorder the terms:
3(-2 + 3x) = -2(8 + -2x)
(-2 * 3 + 3x * 3) = -2(8 + -2x)
(-6 + 9x) = -2(8 + -2x)
-6 + 9x = (8 * -2 + -2x * -2)
-6 + 9x = (-16 + 4x)

Solving
-6 + 9x = -16 + 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.
-6 + 9x + -4x = -16 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-6 + 5x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 5x = -16 + 0
-6 + 5x = -16

Add '6' to each side of the equation.
-6 + 6 + 5x = -16 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -16 + 6
5x = -16 + 6

Combine like terms: -16 + 6 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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