Solve for x
x=8
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17\left(3x-10\right)=7\left(3x+10\right)
Variable x cannot be equal to \frac{10}{3} since division by zero is not defined. Multiply both sides of the equation by 7\left(3x-10\right), the least common multiple of 7,3x-10.
51x-170=7\left(3x+10\right)
Use the distributive property to multiply 17 by 3x-10.
51x-170=21x+70
Use the distributive property to multiply 7 by 3x+10.
51x-170-21x=70
Subtract 21x from both sides.
30x-170=70
Combine 51x and -21x to get 30x.
30x=70+170
Add 170 to both sides.
30x=240
Add 70 and 170 to get 240.
x=\frac{240}{30}
Divide both sides by 30.
x=8
Divide 240 by 30 to get 8.
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