84=2x+3(3x+6)

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Solution for 84=2x+3(3x+6) equation:


Simplifying
84 = 2x + 3(3x + 6)

Reorder the terms:
84 = 2x + 3(6 + 3x)
84 = 2x + (6 * 3 + 3x * 3)
84 = 2x + (18 + 9x)

Reorder the terms:
84 = 18 + 2x + 9x

Combine like terms: 2x + 9x = 11x
84 = 18 + 11x

Solving
84 = 18 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
84 + -11x = 18 + 11x + -11x

Combine like terms: 11x + -11x = 0
84 + -11x = 18 + 0
84 + -11x = 18

Add '-84' to each side of the equation.
84 + -84 + -11x = 18 + -84

Combine like terms: 84 + -84 = 0
0 + -11x = 18 + -84
-11x = 18 + -84

Combine like terms: 18 + -84 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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