3x+9(3x+1)=9x-6

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Solution for 3x+9(3x+1)=9x-6 equation:


Simplifying
3x + 9(3x + 1) = 9x + -6

Reorder the terms:
3x + 9(1 + 3x) = 9x + -6
3x + (1 * 9 + 3x * 9) = 9x + -6
3x + (9 + 27x) = 9x + -6

Reorder the terms:
9 + 3x + 27x = 9x + -6

Combine like terms: 3x + 27x = 30x
9 + 30x = 9x + -6

Reorder the terms:
9 + 30x = -6 + 9x

Solving
9 + 30x = -6 + 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.
9 + 30x + -9x = -6 + 9x + -9x

Combine like terms: 30x + -9x = 21x
9 + 21x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
9 + 21x = -6 + 0
9 + 21x = -6

Add '-9' to each side of the equation.
9 + -9 + 21x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 21x = -6 + -9
21x = -6 + -9

Combine like terms: -6 + -9 = -15
21x = -15

Divide each side by '21'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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