9(3x+1)=5x-6x

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Solution for 9(3x+1)=5x-6x equation:


Simplifying
9(3x + 1) = 5x + -6x

Reorder the terms:
9(1 + 3x) = 5x + -6x
(1 * 9 + 3x * 9) = 5x + -6x
(9 + 27x) = 5x + -6x

Combine like terms: 5x + -6x = -1x
9 + 27x = -1x

Solving
9 + 27x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
9 + 27x + x = -1x + x

Combine like terms: 27x + x = 28x
9 + 28x = -1x + x

Combine like terms: -1x + x = 0
9 + 28x = 0

Add '-9' to each side of the equation.
9 + -9 + 28x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 28x = 0 + -9
28x = 0 + -9

Combine like terms: 0 + -9 = -9
28x = -9

Divide each side by '28'.
x = -0.3214285714

Simplifying
x = -0.3214285714

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