84=7(x+6)-x

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Solution for 84=7(x+6)-x equation: 


Simplifying
84 = 7(x + 6) + -1x

Reorder the terms:
84 = 7(6 + x) + -1x
84 = (6 * 7 + x * 7) + -1x
84 = (42 + 7x) + -1x

Combine like terms: 7x + -1x = 6x
84 = 42 + 6x

Solving
84 = 42 + 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.
84 + -6x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
84 + -6x = 42 + 0
84 + -6x = 42

Add '-84' to each side of the equation.
84 + -84 + -6x = 42 + -84

Combine like terms: 84 + -84 = 0
0 + -6x = 42 + -84
-6x = 42 + -84

Combine like terms: 42 + -84 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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