Solve x+2(y-3)=5

$$x + 2 ( y - 3 ) = 5$$

Solve for x

$$x=11-2y$$

Solution Steps

Use the distributive property to multiply 2 by y-3.

$$x+2y-6=5$$

Subtract 2y from both sides.

$$x-6=5-2y$$

Add 6 to both sides.

$$x=5-2y+6$$

Add 5 and 6 to get 11.

$$x=11-2y$$

Solve for y

$$y=\frac{11-x}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by y-3.

$$x+2y-6=5$$

Subtract x from both sides.

$$2y-6=5-x$$

Add 6 to both sides.

$$2y=5-x+6$$

Add 5 and 6 to get 11.

$$2y=11-x$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{11-x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{11-x}{2}$$