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

$$550 = \frac { 550 * 660 * ( 2 x - 2310 ) } { 660 x + ( x - 2310 ) + 556 }$$

Solve for x

$$x = \frac{1522846}{659} = 2310\frac{556}{659} \approx 2310.84370258$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1754}{661} since division by zero is not defined. Multiply both sides of the equation by 661x-1754.

$$550\left(661x-1754\right)=550\times 660\left(2x-2310\right)$$

Use the distributive property to multiply 550 by 661x-1754.

$$363550x-964700=550\times 660\left(2x-2310\right)$$

Multiply 550 and 660 to get 363000.

$$363550x-964700=363000\left(2x-2310\right)$$

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

$$363550x-964700=726000x-838530000$$

Subtract 726000x from both sides.

$$363550x-964700-726000x=-838530000$$

Combine 363550x and -726000x to get -362450x.

$$-362450x-964700=-838530000$$

Add 964700 to both sides.

$$-362450x=-838530000+964700$$

Add -838530000 and 964700 to get -837565300.

$$-362450x=-837565300$$

Divide both sides by -362450.

$$x=\frac{-837565300}{-362450}$$

Reduce the fraction \frac{-837565300}{-362450} to lowest terms by extracting and canceling out -550.

$$x=\frac{1522846}{659}$$