Solve for x
x = \frac{864}{41} = 21\frac{3}{41} \approx 21.073170732
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17\left(32-3x\right)+5\left(64-15x\right)=-85x
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)=-85x
Use the distributive property to multiply 17 by 32-3x.
544-51x+320-75x=-85x
Use the distributive property to multiply 5 by 64-15x.
864-51x-75x=-85x
Add 544 and 320 to get 864.
864-126x=-85x
Combine -51x and -75x to get -126x.
864-126x+85x=0
Add 85x to both sides.
864-41x=0
Combine -126x and 85x to get -41x.
-41x=-864
Subtract 864 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-864}{-41}
Divide both sides by -41.
x=\frac{864}{41}
Fraction \frac{-864}{-41} can be simplified to \frac{864}{41} by removing the negative sign from both the numerator and the denominator.
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