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18496=10\left(x-10\right)
Multiply 289 and 64 to get 18496.
18496=10x-100
Use the distributive property to multiply 10 by x-10.
10x-100=18496
Swap sides so that all variable terms are on the left hand side.
10x=18496+100
Add 100 to both sides.
10x=18596
Add 18496 and 100 to get 18596.
x=\frac{18596}{10}
Divide both sides by 10.
x=\frac{9298}{5}
Reduce the fraction \frac{18596}{10} to lowest terms by extracting and canceling out 2.