Solve 880390+16.667/340-x=490

$$880 \frac{ 390+16.667 }{ 340-x } = 490$$

Solve for x

$$x = -\frac{2390837}{6125} = -390\frac{2087}{6125} \approx -390.340734694$$

Steps for Solving Linear Equation

Divide both sides by 880.

$$\frac{390+16.667}{340-x}=\frac{490}{880}$$

Reduce the fraction \frac{490}{880} to lowest terms by extracting and canceling out 10.

$$\frac{390+16.667}{340-x}=\frac{49}{88}$$

Variable x cannot be equal to 340 since division by zero is not defined. Multiply both sides of the equation by 88\left(x-340\right), the least common multiple of 340-x,88.

$$-88\left(390+16.667\right)=49\left(x-340\right)$$

Add 390 and 16.667 to get 406.667.

$$-88\times 406.667=49\left(x-340\right)$$

Multiply -88 and 406.667 to get -35786.696.

$$-35786.696=49\left(x-340\right)$$

Use the distributive property to multiply 49 by x-340.

$$-35786.696=49x-16660$$

Swap sides so that all variable terms are on the left hand side.

$$49x-16660=-35786.696$$

Add 16660 to both sides.

$$49x=-35786.696+16660$$

Add -35786.696 and 16660 to get -19126.696.

$$49x=-19126.696$$

Divide both sides by 49.

$$x=\frac{-19126.696}{49}$$

Expand \frac{-19126.696}{49} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-19126696}{49000}$$

Reduce the fraction \frac{-19126696}{49000} to lowest terms by extracting and canceling out 8.

$$x=-\frac{2390837}{6125}$$