Solve xdiv250+3200div250=(x-3200)div90

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

Solve for x

$$x=6800$$

Steps for Solving Linear Equation

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

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

Multiply 9 and 3200 to get 28800.

$$9x+28800=25\left(x-3200\right)$$

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

$$9x+28800=25x-80000$$

Subtract 25x from both sides.

$$9x+28800-25x=-80000$$

Combine 9x and -25x to get -16x.

$$-16x+28800=-80000$$

Subtract 28800 from both sides.

$$-16x=-80000-28800$$

Subtract 28800 from -80000 to get -108800.

$$-16x=-108800$$

Divide both sides by -16.

$$x=\frac{-108800}{-16}$$

Divide -108800 by -16 to get 6800.

$$x=6800$$