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

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

Solve for w

$$w = -\frac{9}{7} = -1\frac{2}{7} \approx -1.285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3w+3.

$$4w-8+6w+6=-4\left(w+5\right)$$

Combine 4w and 6w to get 10w.

$$10w-8+6=-4\left(w+5\right)$$

Add -8 and 6 to get -2.

$$10w-2=-4\left(w+5\right)$$

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

$$10w-2=-4w-20$$

Add 4w to both sides.

$$10w-2+4w=-20$$

Combine 10w and 4w to get 14w.

$$14w-2=-20$$

Add 2 to both sides.

$$14w=-20+2$$

Add -20 and 2 to get -18.

$$14w=-18$$

Divide both sides by 14.

$$w=\frac{-18}{14}$$

Reduce the fraction \frac{-18}{14} to lowest terms by extracting and canceling out 2.

$$w=-\frac{9}{7}$$