6x-3(-3x+2)=3(-8+2x)

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Solution for 6x-3(-3x+2)=3(-8+2x) equation:


Simplifying
6x + -3(-3x + 2) = 3(-8 + 2x)

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

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

Combine like terms: 6x + 9x = 15x
-6 + 15x = 3(-8 + 2x)
-6 + 15x = (-8 * 3 + 2x * 3)
-6 + 15x = (-24 + 6x)

Solving
-6 + 15x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 15x + -6x = -24 + 6x + -6x

Combine like terms: 15x + -6x = 9x
-6 + 9x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 9x = -24 + 0
-6 + 9x = -24

Add '6' to each side of the equation.
-6 + 6 + 9x = -24 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = -24 + 6
9x = -24 + 6

Combine like terms: -24 + 6 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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