Solve 3x-2+x-w+1+3-4w-22=2y

$$3 x - 2 + x - w + 1 + 3 - 4 w - 22 = 2 y$$

Solve for w

$$w=\frac{4x}{5}-\frac{2y}{5}-4$$

Steps for Solving Linear Equation

Combine 3x and x to get 4x.

$$4x-2-w+1+3-4w-22=2y$$

Add -2 and 1 to get -1.

$$4x-1-w+3-4w-22=2y$$

Add -1 and 3 to get 2.

$$4x+2-w-4w-22=2y$$

Combine -w and -4w to get -5w.

$$4x+2-5w-22=2y$$

Subtract 22 from 2 to get -20.

$$4x-20-5w=2y$$

Subtract 4x from both sides.

$$-20-5w=2y-4x$$

Add 20 to both sides.

$$-5w=2y-4x+20$$

The equation is in standard form.

$$-5w=20+2y-4x$$

Divide both sides by -5.

$$\frac{-5w}{-5}=\frac{20+2y-4x}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$w=\frac{20+2y-4x}{-5}$$

Divide 20+2y-4x by -5.

$$w=\frac{4x}{5}-\frac{2y}{5}-4$$

Solve for x

$$x=\frac{y}{2}+\frac{5w}{4}+5$$

Steps for Solving Linear Equation

Combine 3x and x to get 4x.

$$4x-2-w+1+3-4w-22=2y$$

Add -2 and 1 to get -1.

$$4x-1-w+3-4w-22=2y$$

Add -1 and 3 to get 2.

$$4x+2-w-4w-22=2y$$

Combine -w and -4w to get -5w.

$$4x+2-5w-22=2y$$

Subtract 22 from 2 to get -20.

$$4x-20-5w=2y$$

Add 20 to both sides.

$$4x-5w=2y+20$$

Add 5w to both sides.

$$4x=2y+20+5w$$

The equation is in standard form.

$$4x=2y+5w+20$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{2y+5w+20}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{2y+5w+20}{4}$$

Divide 2y+20+5w by 4.

$$x=\frac{y}{2}+\frac{5w}{4}+5$$