3x-3(3x-7)=2(3x-8)+6x

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Solution for 3x-3(3x-7)=2(3x-8)+6x equation:


Simplifying
3x + -3(3x + -7) = 2(3x + -8) + 6x

Reorder the terms:
3x + -3(-7 + 3x) = 2(3x + -8) + 6x
3x + (-7 * -3 + 3x * -3) = 2(3x + -8) + 6x
3x + (21 + -9x) = 2(3x + -8) + 6x

Reorder the terms:
21 + 3x + -9x = 2(3x + -8) + 6x

Combine like terms: 3x + -9x = -6x
21 + -6x = 2(3x + -8) + 6x

Reorder the terms:
21 + -6x = 2(-8 + 3x) + 6x
21 + -6x = (-8 * 2 + 3x * 2) + 6x
21 + -6x = (-16 + 6x) + 6x

Combine like terms: 6x + 6x = 12x
21 + -6x = -16 + 12x

Solving
21 + -6x = -16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
21 + -6x + -12x = -16 + 12x + -12x

Combine like terms: -6x + -12x = -18x
21 + -18x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
21 + -18x = -16 + 0
21 + -18x = -16

Add '-21' to each side of the equation.
21 + -21 + -18x = -16 + -21

Combine like terms: 21 + -21 = 0
0 + -18x = -16 + -21
-18x = -16 + -21

Combine like terms: -16 + -21 = -37
-18x = -37

Divide each side by '-18'.
x = 2.055555556

Simplifying
x = 2.055555556

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