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1500\times \frac{115}{3}+x\times \frac{115}{3}=5.75\times 10^{4}
Use the distributive property to multiply 1500+x by \frac{115}{3}.
\frac{1500\times 115}{3}+x\times \frac{115}{3}=5.75\times 10^{4}
Express 1500\times \frac{115}{3} as a single fraction.
\frac{172500}{3}+x\times \frac{115}{3}=5.75\times 10^{4}
Multiply 1500 and 115 to get 172500.
57500+x\times \frac{115}{3}=5.75\times 10^{4}
Divide 172500 by 3 to get 57500.
57500+x\times \frac{115}{3}=5.75\times 10000
Calculate 10 to the power of 4 and get 10000.
57500+x\times \frac{115}{3}=57500
Multiply 5.75 and 10000 to get 57500.
x\times \frac{115}{3}=57500-57500
Subtract 57500 from both sides.
x\times \frac{115}{3}=0
Subtract 57500 from 57500 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{115}{3} is not equal to 0, x must be equal to 0.