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4x\times 46=8\times 12
Multiply both sides by 12.
184x=8\times 12
Multiply 4 and 46 to get 184.
184x=96
Multiply 8 and 12 to get 96.
x=\frac{96}{184}
Divide both sides by 184.
x=\frac{12}{23}
Reduce the fraction \frac{96}{184} to lowest terms by extracting and canceling out 8.