3(x+3)=6x+2

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


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

Reorder the terms:
3(3 + x) = 6x + 2
(3 * 3 + x * 3) = 6x + 2
(9 + 3x) = 6x + 2

Reorder the terms:
9 + 3x = 2 + 6x

Solving
9 + 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.
9 + 3x + -6x = 2 + 6x + -6x

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

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

Add '-9' to each side of the equation.
9 + -9 + -3x = 2 + -9

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

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

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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