Solve (100-x-300/50)(3000-150)-(x-300/50*50)=306600

$$(100- \frac{ x-300 }{ 50 } )(3000-150)-( \frac{ x-300 }{ 50 } \times 50)=306600$$

Solve for x

$$x = -\frac{2100}{29} = -72\frac{12}{29} \approx -72.413793103$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 50.

$$50\left(100-\frac{x-300}{50}\right)\left(3000-150\right)-\left(x-300\right)\times 50=15330000$$

Subtract 150 from 3000 to get 2850.

$$50\left(100-\frac{x-300}{50}\right)\times 2850-\left(x-300\right)\times 50=15330000$$

Multiply 50 and 2850 to get 142500.

$$142500\left(100-\frac{x-300}{50}\right)-\left(x-300\right)\times 50=15330000$$

Use the distributive property to multiply 142500 by 100-\frac{x-300}{50}.

$$14250000+142500\left(-\frac{x-300}{50}\right)-\left(x-300\right)\times 50=15330000$$

Cancel out 50, the greatest common factor in 142500 and 50.

$$14250000-2850\left(x-300\right)-\left(x-300\right)\times 50=15330000$$

Use the distributive property to multiply -2850 by x-300.

$$14250000-2850x+855000-\left(x-300\right)\times 50=15330000$$

Add 14250000 and 855000 to get 15105000.

$$15105000-2850x-\left(x-300\right)\times 50=15330000$$

Use the distributive property to multiply x-300 by 50.

$$15105000-2850x-\left(50x-15000\right)=15330000$$

To find the opposite of 50x-15000, find the opposite of each term.

$$15105000-2850x-50x-\left(-15000\right)=15330000$$

The opposite of -15000 is 15000.

$$15105000-2850x-50x+15000=15330000$$

Combine -2850x and -50x to get -2900x.

$$15105000-2900x+15000=15330000$$

Add 15105000 and 15000 to get 15120000.

$$15120000-2900x=15330000$$

Subtract 15120000 from both sides.

$$-2900x=15330000-15120000$$

Subtract 15120000 from 15330000 to get 210000.

$$-2900x=210000$$

Divide both sides by -2900.

$$x=\frac{210000}{-2900}$$

Reduce the fraction \frac{210000}{-2900} to lowest terms by extracting and canceling out 100.

$$x=-\frac{2100}{29}$$