Solve for x
x=560
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15\times 2400=2400+15x\times 4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15x, the least common multiple of x,15x.
36000=2400+15x\times 4
Multiply 15 and 2400 to get 36000.
36000=2400+60x
Multiply 15 and 4 to get 60.
2400+60x=36000
Swap sides so that all variable terms are on the left hand side.
60x=36000-2400
Subtract 2400 from both sides.
60x=33600
Subtract 2400 from 36000 to get 33600.
x=\frac{33600}{60}
Divide both sides by 60.
x=560
Divide 33600 by 60 to get 560.
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