Solve 500=550*660left(2x-2310right)/660x+left(x-2310right)556

$$500 = \frac{ 550 \cdot 660 \left( 2x-2310 \right) }{ 660x+ \left( x-2310 \right) 556 }$$

Solve for x

$$x = \frac{98175}{59} = 1663\frac{58}{59} \approx 1663.983050847$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{160545}{152} since division by zero is not defined. Multiply both sides of the equation by 8\left(152x-160545\right).

$$4000\left(152x-160545\right)=550\times 660\left(2x-2310\right)$$

Use the distributive property to multiply 4000 by 152x-160545.

$$608000x-642180000=550\times 660\left(2x-2310\right)$$

Multiply 550 and 660 to get 363000.

$$608000x-642180000=363000\left(2x-2310\right)$$

Use the distributive property to multiply 363000 by 2x-2310.

$$608000x-642180000=726000x-838530000$$

Subtract 726000x from both sides.

$$608000x-642180000-726000x=-838530000$$

Combine 608000x and -726000x to get -118000x.

$$-118000x-642180000=-838530000$$

Add 642180000 to both sides.

$$-118000x=-838530000+642180000$$

Add -838530000 and 642180000 to get -196350000.

$$-118000x=-196350000$$

Divide both sides by -118000.

$$x=\frac{-196350000}{-118000}$$

Reduce the fraction \frac{-196350000}{-118000} to lowest terms by extracting and canceling out -2000.

$$x=\frac{98175}{59}$$