Solve 8-(2w-3)=-4(w-5)-(3w+8)

$$8 - ( 2 w - 3 ) = - 4 ( w - 5 ) - ( 3 w + 8 )$$

Solve for w

$$w=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

To find the opposite of 2w-3, find the opposite of each term.

$$8-2w-\left(-3\right)=-4\left(w-5\right)-\left(3w+8\right)$$

The opposite of -3 is 3.

$$8-2w+3=-4\left(w-5\right)-\left(3w+8\right)$$

Add 8 and 3 to get 11.

$$11-2w=-4\left(w-5\right)-\left(3w+8\right)$$

Use the distributive property to multiply -4 by w-5.

$$11-2w=-4w+20-\left(3w+8\right)$$

To find the opposite of 3w+8, find the opposite of each term.

$$11-2w=-4w+20-3w-8$$

Combine -4w and -3w to get -7w.

$$11-2w=-7w+20-8$$

Subtract 8 from 20 to get 12.

$$11-2w=-7w+12$$

Add 7w to both sides.

$$11-2w+7w=12$$

Combine -2w and 7w to get 5w.

$$11+5w=12$$

Subtract 11 from both sides.

$$5w=12-11$$

Subtract 11 from 12 to get 1.

$$5w=1$$

Divide both sides by 5.

$$w=\frac{1}{5}$$