6(7x-3)=486

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Solution for 6(7x-3)=486 equation: 


Simplifying
6(7x + -3) = 486

Reorder the terms:
6(-3 + 7x) = 486
(-3 * 6 + 7x * 6) = 486
(-18 + 42x) = 486

Solving
-18 + 42x = 486

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 42x = 486 + 18

Combine like terms: -18 + 18 = 0
0 + 42x = 486 + 18
42x = 486 + 18

Combine like terms: 486 + 18 = 504
42x = 504

Divide each side by '42'.
x = 12

Simplifying
x = 12

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