Solve for x
x=0
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5\times 12=12\left(x+5\right)
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+5\right), the least common multiple of x+5,5.
60=12\left(x+5\right)
Multiply 5 and 12 to get 60.
60=12x+60
Use the distributive property to multiply 12 by x+5.
12x+60=60
Swap sides so that all variable terms are on the left hand side.
12x=60-60
Subtract 60 from both sides.
12x=0
Subtract 60 from 60 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 12 is not equal to 0, x must be equal to 0.
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