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

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


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

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

Solving
6 + -3x = 2 + 6x

Solving for variable 'x'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -9x = 2 + -6

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

Combine like terms: 2 + -6 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

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