Solve for x
x=38
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147x\times \frac{1}{3}-3\times 15=147x\times \frac{16}{49}-7
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 147x, the least common multiple of 3,49x,49,21x.
49x-3\times 15=147x\times \frac{16}{49}-7
Multiply 147 and \frac{1}{3} to get 49.
49x-45=147x\times \frac{16}{49}-7
Multiply -3 and 15 to get -45.
49x-45=48x-7
Multiply 147 and \frac{16}{49} to get 48.
49x-45-48x=-7
Subtract 48x from both sides.
x-45=-7
Combine 49x and -48x to get x.
x=-7+45
Add 45 to both sides.
x=38
Add -7 and 45 to get 38.
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