Solve x+250+3200div250=(x-3200)div90

$$x + 250 + 3200 \div 250 = ( x - 3200 ) \div 90$$

Solve for x

$$x = -\frac{26852}{89} = -301\frac{63}{89} \approx -301.707865169$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2250, the least common multiple of 250,90.

$$2250x+562500+9\times 3200=25\left(x-3200\right)$$

Multiply 9 and 3200 to get 28800.

$$2250x+562500+28800=25\left(x-3200\right)$$

Add 562500 and 28800 to get 591300.

$$2250x+591300=25\left(x-3200\right)$$

Use the distributive property to multiply 25 by x-3200.

$$2250x+591300=25x-80000$$

Subtract 25x from both sides.

$$2250x+591300-25x=-80000$$

Combine 2250x and -25x to get 2225x.

$$2225x+591300=-80000$$

Subtract 591300 from both sides.

$$2225x=-80000-591300$$

Subtract 591300 from -80000 to get -671300.

$$2225x=-671300$$

Divide both sides by 2225.

$$x=\frac{-671300}{2225}$$

Reduce the fraction \frac{-671300}{2225} to lowest terms by extracting and canceling out 25.

$$x=-\frac{26852}{89}$$