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10x-5=7\left(9-x\right)
Use the distributive property to multiply 5 by 2x-1.
10x-5=63-7x
Use the distributive property to multiply 7 by 9-x.
10x-5+7x=63
Add 7x to both sides.
17x-5=63
Combine 10x and 7x to get 17x.
17x=63+5
Add 5 to both sides.
17x=68
Add 63 and 5 to get 68.
x=\frac{68}{17}
Divide both sides by 17.
x=4
Divide 68 by 17 to get 4.