Solve (4)2020(5x+8)-2019(5x+8)=-5x-8

$$( 4 ) 2020 ( 5 x + 8 ) - 2019 ( 5 x + 8 ) = - 5 x - 8$$

Solve for x

$$x = -\frac{8}{5} = -1\frac{3}{5} = -1.6$$

Steps for Solving Linear Equation

Multiply 4 and 2020 to get 8080.

$$8080\left(5x+8\right)-2019\left(5x+8\right)=-5x-8$$

Use the distributive property to multiply 8080 by 5x+8.

$$40400x+64640-2019\left(5x+8\right)=-5x-8$$

Use the distributive property to multiply -2019 by 5x+8.

$$40400x+64640-10095x-16152=-5x-8$$

Combine 40400x and -10095x to get 30305x.

$$30305x+64640-16152=-5x-8$$

Subtract 16152 from 64640 to get 48488.

$$30305x+48488=-5x-8$$

Add 5x to both sides.

$$30305x+48488+5x=-8$$

Combine 30305x and 5x to get 30310x.

$$30310x+48488=-8$$

Subtract 48488 from both sides.

$$30310x=-8-48488$$

Subtract 48488 from -8 to get -48496.

$$30310x=-48496$$

Divide both sides by 30310.

$$x=\frac{-48496}{30310}$$

Reduce the fraction \frac{-48496}{30310} to lowest terms by extracting and canceling out 6062.

$$x=-\frac{8}{5}$$