Solve 11-5(-3x-1)+40=-(5x+4)+8

$$11 - 5 ( - 3 x - 1 ) + 40 = - ( 5 x + 4 ) + 8$$

Solve for x

$$x = -\frac{13}{5} = -2\frac{3}{5} = -2.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by -3x-1.

$$11+15x+5+40=-\left(5x+4\right)+8$$

Add 11 and 5 to get 16.

$$16+15x+40=-\left(5x+4\right)+8$$

Add 16 and 40 to get 56.

$$56+15x=-\left(5x+4\right)+8$$

To find the opposite of 5x+4, find the opposite of each term.

$$56+15x=-5x-4+8$$

Add -4 and 8 to get 4.

$$56+15x=-5x+4$$

Add 5x to both sides.

$$56+15x+5x=4$$

Combine 15x and 5x to get 20x.

$$56+20x=4$$

Subtract 56 from both sides.

$$20x=4-56$$

Subtract 56 from 4 to get -52.

$$20x=-52$$

Divide both sides by 20.

$$x=\frac{-52}{20}$$

Reduce the fraction \frac{-52}{20} to lowest terms by extracting and canceling out 4.

$$x=-\frac{13}{5}$$