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\frac{7}{9}\times 5=4x
Multiply both sides by 5.
\frac{7\times 5}{9}=4x
Express \frac{7}{9}\times 5 as a single fraction.
\frac{35}{9}=4x
Multiply 7 and 5 to get 35.
4x=\frac{35}{9}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{35}{9}}{4}
Divide both sides by 4.
x=\frac{35}{9\times 4}
Express \frac{\frac{35}{9}}{4} as a single fraction.
x=\frac{35}{36}
Multiply 9 and 4 to get 36.