Solve for x
x=0
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5\left(9+3x\right)=3\left(15+x\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
45+15x=3\left(15+x\right)
Use the distributive property to multiply 5 by 9+3x.
45+15x=45+3x
Use the distributive property to multiply 3 by 15+x.
45+15x-3x=45
Subtract 3x from both sides.
45+12x=45
Combine 15x and -3x to get 12x.
12x=45-45
Subtract 45 from both sides.
12x=0
Subtract 45 from 45 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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