x+3=3(3x-6)

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


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

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

Reorder the terms:
3 + x = 3(-6 + 3x)
3 + x = (-6 * 3 + 3x * 3)
3 + x = (-18 + 9x)

Solving
3 + x = -18 + 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.
3 + x + -9x = -18 + 9x + -9x

Combine like terms: x + -9x = -8x
3 + -8x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -8x = -18 + 0
3 + -8x = -18

Add '-3' to each side of the equation.
3 + -3 + -8x = -18 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -18 + -3
-8x = -18 + -3

Combine like terms: -18 + -3 = -21
-8x = -21

Divide each side by '-8'.
x = 2.625

Simplifying
x = 2.625

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