Solve for x
x = \frac{48}{7} = 6\frac{6}{7} \approx 6.857142857
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17\left(32-3x\right)+5\left(64-15x\right)=0
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 85x, the least common multiple of 5x,17x.
544-51x+5\left(64-15x\right)=0
Use the distributive property to multiply 17 by 32-3x.
544-51x+320-75x=0
Use the distributive property to multiply 5 by 64-15x.
864-51x-75x=0
Add 544 and 320 to get 864.
864-126x=0
Combine -51x and -75x to get -126x.
-126x=-864
Subtract 864 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-864}{-126}
Divide both sides by -126.
x=\frac{48}{7}
Reduce the fraction \frac{-864}{-126} to lowest terms by extracting and canceling out -18.
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