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

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


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

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

Combine like terms: 2x + -7x = -5x
3 + 9x = -5x

Solving
3 + 9x = -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.
3 + 9x + 5x = -5x + 5x

Combine like terms: 9x + 5x = 14x
3 + 14x = -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 14x = 0

Add '-3' to each side of the equation.
3 + -3 + 14x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 0 + -3
14x = 0 + -3

Combine like terms: 0 + -3 = -3
14x = -3

Divide each side by '14'.
x = -0.2142857143

Simplifying
x = -0.2142857143

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