3(x-6)=(x+16-6)

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


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

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

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

Combine like terms: 16 + -6 = 10
-18 + 3x = (10 + x)

Remove parenthesis around (10 + x)
-18 + 3x = 10 + x

Solving
-18 + 3x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-18 + 3x + -1x = 10 + x + -1x

Combine like terms: 3x + -1x = 2x
-18 + 2x = 10 + x + -1x

Combine like terms: x + -1x = 0
-18 + 2x = 10 + 0
-18 + 2x = 10

Add '18' to each side of the equation.
-18 + 18 + 2x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 10 + 18
2x = 10 + 18

Combine like terms: 10 + 18 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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