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10x\left(1\times 7+2\right)-7\left(10+3\right)=98
Multiply both sides of the equation by 70, the least common multiple of 7,10.
10x\left(7+2\right)-7\left(10+3\right)=98
Multiply 1 and 7 to get 7.
10x\times 9-7\left(10+3\right)=98
Add 7 and 2 to get 9.
90x-7\left(10+3\right)=98
Multiply 10 and 9 to get 90.
90x-7\times 13=98
Add 10 and 3 to get 13.
90x-91=98
Multiply -7 and 13 to get -91.
90x=98+91
Add 91 to both sides.
90x=189
Add 98 and 91 to get 189.
x=\frac{189}{90}
Divide both sides by 90.
x=\frac{21}{10}
Reduce the fraction \frac{189}{90} to lowest terms by extracting and canceling out 9.