3(x+1)=9x-2

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


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

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

Reorder the terms:
3 + 3x = -2 + 9x

Solving
3 + 3x = -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.
3 + 3x + -9x = -2 + 9x + -9x

Combine like terms: 3x + -9x = -6x
3 + -6x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -6x = -2 + 0
3 + -6x = -2

Add '-3' to each side of the equation.
3 + -3 + -6x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -2 + -3
-6x = -2 + -3

Combine like terms: -2 + -3 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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