6-6x-2=3(3x+1)

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Solution for 6-6x-2=3(3x+1) equation:


Simplifying
6 + -6x + -2 = 3(3x + 1)

Reorder the terms:
6 + -2 + -6x = 3(3x + 1)

Combine like terms: 6 + -2 = 4
4 + -6x = 3(3x + 1)

Reorder the terms:
4 + -6x = 3(1 + 3x)
4 + -6x = (1 * 3 + 3x * 3)
4 + -6x = (3 + 9x)

Solving
4 + -6x = 3 + 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.
4 + -6x + -9x = 3 + 9x + -9x

Combine like terms: -6x + -9x = -15x
4 + -15x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -15x = 3 + 0
4 + -15x = 3

Add '-4' to each side of the equation.
4 + -4 + -15x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -15x = 3 + -4
-15x = 3 + -4

Combine like terms: 3 + -4 = -1
-15x = -1

Divide each side by '-15'.
x = 0.06666666667

Simplifying
x = 0.06666666667

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