3(3x+2)-4x=-2(x-3)

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Solution for 3(3x+2)-4x=-2(x-3) equation:


Simplifying
3(3x + 2) + -4x = -2(x + -3)

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

Combine like terms: 9x + -4x = 5x
6 + 5x = -2(x + -3)

Reorder the terms:
6 + 5x = -2(-3 + x)
6 + 5x = (-3 * -2 + x * -2)
6 + 5x = (6 + -2x)

Add '-6' to each side of the equation.
6 + -6 + 5x = 6 + -6 + -2x

Combine like terms: 6 + -6 = 0
0 + 5x = 6 + -6 + -2x
5x = 6 + -6 + -2x

Combine like terms: 6 + -6 = 0
5x = 0 + -2x
5x = -2x

Solving
5x = -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.
5x + 2x = -2x + 2x

Combine like terms: 5x + 2x = 7x
7x = -2x + 2x

Combine like terms: -2x + 2x = 0
7x = 0

Divide each side by '7'.
x = 0

Simplifying
x = 0

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