3(x-2)=2+6

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


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

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

Combine like terms: 2 + 6 = 8
-6 + 3x = 8

Solving
-6 + 3x = 8

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 8 + 6
3x = 8 + 6

Combine like terms: 8 + 6 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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