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

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


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

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

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

Remove parenthesis around (3 + x)
9 + 3x = 3 + x + (2x + -3) + x

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

Remove parenthesis around (-3 + 2x)
9 + 3x = 3 + x + -3 + 2x + x

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

Combine like terms: 3 + -3 = 0
9 + 3x = 0 + x + 2x + x
9 + 3x = x + 2x + x

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

Combine like terms: 3x + x = 4x
9 + 3x = 4x

Solving
9 + 3x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 3x + -4x = 4x + -4x

Combine like terms: 3x + -4x = -1x
9 + -1x = 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -1x = 0

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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