Solve 420-105x-60(x+1)=90

$$420 - 105 x - 60 ( x + 1 ) = 90$$

Solve for x

$$x = \frac{18}{11} = 1\frac{7}{11} \approx 1.636363636$$

Steps for Solving Linear Equation

Use the distributive property to multiply -60 by x+1.

$$420-105x-60x-60=90$$

Combine -105x and -60x to get -165x.

$$420-165x-60=90$$

Subtract 60 from 420 to get 360.

$$360-165x=90$$

Subtract 360 from both sides.

$$-165x=90-360$$

Subtract 360 from 90 to get -270.

$$-165x=-270$$

Divide both sides by -165.

$$x=\frac{-270}{-165}$$

Reduce the fraction \frac{-270}{-165} to lowest terms by extracting and canceling out -15.

$$x=\frac{18}{11}$$