Solve 2(w-1)+4=4(w+1)

$$2 ( w - 1 ) + 4 = 4 ( w + 1 )$$

Solve for w

$$w=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by w-1.

$$2w-2+4=4\left(w+1\right)$$

Add -2 and 4 to get 2.

$$2w+2=4\left(w+1\right)$$

Use the distributive property to multiply 4 by w+1.

$$2w+2=4w+4$$

Subtract 4w from both sides.

$$2w+2-4w=4$$

Combine 2w and -4w to get -2w.

$$-2w+2=4$$

Subtract 2 from both sides.

$$-2w=4-2$$

Subtract 2 from 4 to get 2.

$$-2w=2$$

Divide both sides by -2.

$$w=\frac{2}{-2}$$

Divide 2 by -2 to get -1.

$$w=-1$$