Solve for x
x=\frac{10}{13}\approx 0.769230769
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216-9\left(7x+2\right)=144x+8\left(5x+1\right)
Multiply both sides of the equation by 72, the least common multiple of 8,9.
216-63x-18=144x+8\left(5x+1\right)
Use the distributive property to multiply -9 by 7x+2.
198-63x=144x+8\left(5x+1\right)
Subtract 18 from 216 to get 198.
198-63x=144x+40x+8
Use the distributive property to multiply 8 by 5x+1.
198-63x=184x+8
Combine 144x and 40x to get 184x.
198-63x-184x=8
Subtract 184x from both sides.
198-247x=8
Combine -63x and -184x to get -247x.
-247x=8-198
Subtract 198 from both sides.
-247x=-190
Subtract 198 from 8 to get -190.
x=\frac{-190}{-247}
Divide both sides by -247.
x=\frac{10}{13}
Reduce the fraction \frac{-190}{-247} to lowest terms by extracting and canceling out -19.
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