Solve y-6=2(x-5)

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

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-5.

$$y-6=2x-10$$

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

$$2x-10=y-6$$

Add 10 to both sides.

$$2x=y-6+10$$

Add -6 and 10 to get 4.

$$2x=y+4$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide y+4 by 2.

$$x=\frac{y}{2}+2$$

Solve for y

$$y=2\left(x-2\right)$$

Solution Steps

Use the distributive property to multiply 2 by x-5.

$$y-6=2x-10$$

Add 6 to both sides.

$$y=2x-10+6$$

Add -10 and 6 to get -4.

$$y=2x-4$$