Solve for x
x=-4
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5\left(x+8\right)=4\left(x+9\right)
Variable x cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+9\right), the least common multiple of x+9,5.
5x+40=4\left(x+9\right)
Use the distributive property to multiply 5 by x+8.
5x+40=4x+36
Use the distributive property to multiply 4 by x+9.
5x+40-4x=36
Subtract 4x from both sides.
x+40=36
Combine 5x and -4x to get x.
x=36-40
Subtract 40 from both sides.
x=-4
Subtract 40 from 36 to get -4.
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