Solve for x
x=40
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9\times 16=4\left(x-4\right)
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by 9\left(x-4\right), the least common multiple of x-4,9.
144=4\left(x-4\right)
Multiply 9 and 16 to get 144.
144=4x-16
Use the distributive property to multiply 4 by x-4.
4x-16=144
Swap sides so that all variable terms are on the left hand side.
4x=144+16
Add 16 to both sides.
4x=160
Add 144 and 16 to get 160.
x=\frac{160}{4}
Divide both sides by 4.
x=40
Divide 160 by 4 to get 40.
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