Solve 880390+16667/340-x=490

$$880 \frac{ 390+16667 }{ 340-x } = 490$$

Solve for x

$$x = -\frac{1484356}{49} = -30292\frac{48}{49} \approx -30292.979591837$$

Steps for Solving Linear Equation

Divide both sides by 880.

$$\frac{390+16667}{340-x}=\frac{490}{880}$$

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

$$\frac{390+16667}{340-x}=\frac{49}{88}$$

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.

$$-88\left(390+16667\right)=49\left(x-340\right)$$

Add 390 and 16667 to get 17057.

$$-88\times 17057=49\left(x-340\right)$$

Multiply -88 and 17057 to get -1501016.

$$-1501016=49\left(x-340\right)$$

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

$$-1501016=49x-16660$$

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

$$49x-16660=-1501016$$

Add 16660 to both sides.

$$49x=-1501016+16660$$

Add -1501016 and 16660 to get -1484356.

$$49x=-1484356$$

Divide both sides by 49.

$$x=\frac{-1484356}{49}$$

Fraction \frac{-1484356}{49} can be rewritten as -\frac{1484356}{49} by extracting the negative sign.

$$x=-\frac{1484356}{49}$$