6(x+6)=78

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Solution for 6(x+6)=78 equation:


Simplifying
6(x + 6) = 78

Reorder the terms:
6(6 + x) = 78
(6 * 6 + x * 6) = 78
(36 + 6x) = 78

Solving
36 + 6x = 78

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 6x = 78 + -36

Combine like terms: 36 + -36 = 0
0 + 6x = 78 + -36
6x = 78 + -36

Combine like terms: 78 + -36 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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