Solve (x+90)*89.5=100x+8000

$$(x+90) \times 89.5=100x+8000$$

Solve for x

$$x = \frac{110}{21} = 5\frac{5}{21} \approx 5.238095238$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+90 by 89.5.

$$89.5x+8055=100x+8000$$

Subtract 100x from both sides.

$$89.5x+8055-100x=8000$$

Combine 89.5x and -100x to get -10.5x.

$$-10.5x+8055=8000$$

Subtract 8055 from both sides.

$$-10.5x=8000-8055$$

Subtract 8055 from 8000 to get -55.

$$-10.5x=-55$$

Divide both sides by -10.5.

$$x=\frac{-55}{-10.5}$$

Expand \frac{-55}{-10.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-550}{-105}$$

Reduce the fraction \frac{-550}{-105} to lowest terms by extracting and canceling out -5.

$$x=\frac{110}{21}$$