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408=x\times 512-x\left(178+283\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
408=x\times 512-x\times 461
Add 178 and 283 to get 461.
408=51x
Combine x\times 512 and -x\times 461 to get 51x.
51x=408
Swap sides so that all variable terms are on the left hand side.
x=\frac{408}{51}
Divide both sides by 51.
x=8
Divide 408 by 51 to get 8.