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\frac{4}{9}\times 27=x-7
Multiply both sides by 27.
\frac{4\times 27}{9}=x-7
Express \frac{4}{9}\times 27 as a single fraction.
\frac{108}{9}=x-7
Multiply 4 and 27 to get 108.
12=x-7
Divide 108 by 9 to get 12.
x-7=12
Swap sides so that all variable terms are on the left hand side.
x=12+7
Add 7 to both sides.
x=19
Add 12 and 7 to get 19.