3(7x+6)=9x-2

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Solution for 3(7x+6)=9x-2 equation:


Simplifying
3(7x + 6) = 9x + -2

Reorder the terms:
3(6 + 7x) = 9x + -2
(6 * 3 + 7x * 3) = 9x + -2
(18 + 21x) = 9x + -2

Reorder the terms:
18 + 21x = -2 + 9x

Solving
18 + 21x = -2 + 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.
18 + 21x + -9x = -2 + 9x + -9x

Combine like terms: 21x + -9x = 12x
18 + 12x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
18 + 12x = -2 + 0
18 + 12x = -2

Add '-18' to each side of the equation.
18 + -18 + 12x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + 12x = -2 + -18
12x = -2 + -18

Combine like terms: -2 + -18 = -20
12x = -20

Divide each side by '12'.
x = -1.666666667

Simplifying
x = -1.666666667

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