Solve x(7.5)+(200-x)100=(200)(10)

$$x(7.5)+(200-x)100=(200)(10)$$

Solve for x

$$x = \frac{7200}{37} = 194\frac{22}{37} \approx 194.594594595$$

Steps for Solving Linear Equation

Use the distributive property to multiply 200-x by 100.

$$x\times 7.5+20000-100x=200\times 10$$

Combine x\times 7.5 and -100x to get -92.5x.

$$-92.5x+20000=200\times 10$$

Multiply 200 and 10 to get 2000.

$$-92.5x+20000=2000$$

Subtract 20000 from both sides.

$$-92.5x=2000-20000$$

Subtract 20000 from 2000 to get -18000.

$$-92.5x=-18000$$

Divide both sides by -92.5.

$$x=\frac{-18000}{-92.5}$$

Expand \frac{-18000}{-92.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-180000}{-925}$$

Reduce the fraction \frac{-180000}{-925} to lowest terms by extracting and canceling out -25.

$$x=\frac{7200}{37}$$