Solve -90,500=x*0.4494*(35.0-590.0)

$$- 90,500 = x \cdot 0.4494 \cdot ( 35.0 - 590.0 )$$

Solve for x

$$x = \frac{5000000}{27713} = 180\frac{11660}{27713} \approx 180.420741168$$

Steps for Solving Linear Equation

Multiply -90 and 500 to get -45000.

$$-45000=x\times 0.4494\left(35-590\right)$$

Subtract 590 from 35 to get -555.

$$-45000=x\times 0.4494\left(-555\right)$$

Multiply 0.4494 and -555 to get -249.417.

$$-45000=x\left(-249.417\right)$$

Swap sides so that all variable terms are on the left hand side.

$$x\left(-249.417\right)=-45000$$

Divide both sides by -249.417.

$$x=\frac{-45000}{-249.417}$$

Expand \frac{-45000}{-249.417} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-45000000}{-249417}$$

Reduce the fraction \frac{-45000000}{-249417} to lowest terms by extracting and canceling out -9.

$$x=\frac{5000000}{27713}$$