2x+6-3(-3x-2)=3(x-2)

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Solution for 2x+6-3(-3x-2)=3(x-2) equation:


Simplifying
2x + 6 + -3(-3x + -2) = 3(x + -2)

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

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

Combine like terms: 6 + 6 = 12
12 + 2x + 9x = 3(x + -2)

Combine like terms: 2x + 9x = 11x
12 + 11x = 3(x + -2)

Reorder the terms:
12 + 11x = 3(-2 + x)
12 + 11x = (-2 * 3 + x * 3)
12 + 11x = (-6 + 3x)

Solving
12 + 11x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 11x + -3x = -6 + 3x + -3x

Combine like terms: 11x + -3x = 8x
12 + 8x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 8x = -6 + 0
12 + 8x = -6

Add '-12' to each side of the equation.
12 + -12 + 8x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = -6 + -12
8x = -6 + -12

Combine like terms: -6 + -12 = -18
8x = -18

Divide each side by '8'.
x = -2.25

Simplifying
x = -2.25

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