2(x-6)=30-x

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Solution for 2(x-6)=30-x equation:


Simplifying
2(x + -6) = 30 + -1x

Reorder the terms:
2(-6 + x) = 30 + -1x
(-6 * 2 + x * 2) = 30 + -1x
(-12 + 2x) = 30 + -1x

Solving
-12 + 2x = 30 + -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.
-12 + 2x + x = 30 + -1x + x

Combine like terms: 2x + x = 3x
-12 + 3x = 30 + -1x + x

Combine like terms: -1x + x = 0
-12 + 3x = 30 + 0
-12 + 3x = 30

Add '12' to each side of the equation.
-12 + 12 + 3x = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 30 + 12
3x = 30 + 12

Combine like terms: 30 + 12 = 42
3x = 42

Divide each side by '3'.
x = 14

Simplifying
x = 14

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