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

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


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

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

Reorder the terms:
18 + -6x = 2 + 9x

Solving
18 + -6x = 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 + -6x + -9x = 2 + 9x + -9x

Combine like terms: -6x + -9x = -15x
18 + -15x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
18 + -15x = 2 + 0
18 + -15x = 2

Add '-18' to each side of the equation.
18 + -18 + -15x = 2 + -18

Combine like terms: 18 + -18 = 0
0 + -15x = 2 + -18
-15x = 2 + -18

Combine like terms: 2 + -18 = -16
-15x = -16

Divide each side by '-15'.
x = 1.066666667

Simplifying
x = 1.066666667

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