3(2x-6)=16-x

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Solution for 3(2x-6)=16-x equation:


Simplifying
3(2x + -6) = 16 + -1x

Reorder the terms:
3(-6 + 2x) = 16 + -1x
(-6 * 3 + 2x * 3) = 16 + -1x
(-18 + 6x) = 16 + -1x

Solving
-18 + 6x = 16 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-18 + 6x + x = 16 + -1x + x

Combine like terms: 6x + x = 7x
-18 + 7x = 16 + -1x + x

Combine like terms: -1x + x = 0
-18 + 7x = 16 + 0
-18 + 7x = 16

Add '18' to each side of the equation.
-18 + 18 + 7x = 16 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 16 + 18
7x = 16 + 18

Combine like terms: 16 + 18 = 34
7x = 34

Divide each side by '7'.
x = 4.857142857

Simplifying
x = 4.857142857

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