Solve y+2=3(x-5)

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

Solve for x

$$x=\frac{y+17}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-5.

$$y+2=3x-15$$

Swap sides so that all variable terms are on the left hand side.

$$3x-15=y+2$$

Add 15 to both sides.

$$3x=y+2+15$$

Add 2 and 15 to get 17.

$$3x=y+17$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{y+17}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{y+17}{3}$$

Solve for y

$$y=3x-17$$

Solution Steps

Use the distributive property to multiply 3 by x-5.

$$y+2=3x-15$$

Subtract 2 from both sides.

$$y=3x-15-2$$

Subtract 2 from -15 to get -17.

$$y=3x-17$$