9(3x+1)=2x-7x

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Solution for 9(3x+1)=2x-7x equation:


Simplifying
9(3x + 1) = 2x + -7x

Reorder the terms:
9(1 + 3x) = 2x + -7x
(1 * 9 + 3x * 9) = 2x + -7x
(9 + 27x) = 2x + -7x

Combine like terms: 2x + -7x = -5x
9 + 27x = -5x

Solving
9 + 27x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
9 + 27x + 5x = -5x + 5x

Combine like terms: 27x + 5x = 32x
9 + 32x = -5x + 5x

Combine like terms: -5x + 5x = 0
9 + 32x = 0

Add '-9' to each side of the equation.
9 + -9 + 32x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 32x = 0 + -9
32x = 0 + -9

Combine like terms: 0 + -9 = -9
32x = -9

Divide each side by '32'.
x = -0.28125

Simplifying
x = -0.28125

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