3(3x+2)=3(x+9)-19

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Solution for 3(3x+2)=3(x+9)-19 equation:


Simplifying
3(3x + 2) = 3(x + 9) + -19

Reorder the terms:
3(2 + 3x) = 3(x + 9) + -19
(2 * 3 + 3x * 3) = 3(x + 9) + -19
(6 + 9x) = 3(x + 9) + -19

Reorder the terms:
6 + 9x = 3(9 + x) + -19
6 + 9x = (9 * 3 + x * 3) + -19
6 + 9x = (27 + 3x) + -19

Reorder the terms:
6 + 9x = 27 + -19 + 3x

Combine like terms: 27 + -19 = 8
6 + 9x = 8 + 3x

Solving
6 + 9x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 9x + -3x = 8 + 3x + -3x

Combine like terms: 9x + -3x = 6x
6 + 6x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 6x = 8 + 0
6 + 6x = 8

Add '-6' to each side of the equation.
6 + -6 + 6x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 8 + -6
6x = 8 + -6

Combine like terms: 8 + -6 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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