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\left(24+x\right)\times 9=\frac{72}{25}\times 100
Multiply both sides by 100.
216+9x=\frac{72}{25}\times 100
Use the distributive property to multiply 24+x by 9.
216+9x=\frac{72\times 100}{25}
Express \frac{72}{25}\times 100 as a single fraction.
216+9x=\frac{7200}{25}
Multiply 72 and 100 to get 7200.
216+9x=288
Divide 7200 by 25 to get 288.
9x=288-216
Subtract 216 from both sides.
9x=72
Subtract 216 from 288 to get 72.
x=\frac{72}{9}
Divide both sides by 9.
x=8
Divide 72 by 9 to get 8.