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

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


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

Reorder the terms:
-7 + 3x = 3(3x + -3) + 2

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

Reorder the terms:
-7 + 3x = -9 + 2 + 9x

Combine like terms: -9 + 2 = -7
-7 + 3x = -7 + 9x

Add '7' to each side of the equation.
-7 + 7 + 3x = -7 + 7 + 9x

Combine like terms: -7 + 7 = 0
0 + 3x = -7 + 7 + 9x
3x = -7 + 7 + 9x

Combine like terms: -7 + 7 = 0
3x = 0 + 9x
3x = 9x

Solving
3x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3x + -9x = 9x + -9x

Combine like terms: 3x + -9x = -6x
-6x = 9x + -9x

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

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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