Solve for x
x=15
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11\left(x+3\right)=9\left(x+7\right)
Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by 11\left(x+7\right), the least common multiple of x+7,11.
11x+33=9\left(x+7\right)
Use the distributive property to multiply 11 by x+3.
11x+33=9x+63
Use the distributive property to multiply 9 by x+7.
11x+33-9x=63
Subtract 9x from both sides.
2x+33=63
Combine 11x and -9x to get 2x.
2x=63-33
Subtract 33 from both sides.
2x=30
Subtract 33 from 63 to get 30.
x=\frac{30}{2}
Divide both sides by 2.
x=15
Divide 30 by 2 to get 15.
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