Solve y=2left(x-4right)/5

$$y= \frac{ 2 \left( x-4 \right) }{ 5 }$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-4.

$$y=\frac{2x-8}{5}$$

Divide each term of 2x-8 by 5 to get \frac{2}{5}x-\frac{8}{5}.

$$y=\frac{2}{5}x-\frac{8}{5}$$

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

$$\frac{2}{5}x-\frac{8}{5}=y$$

Add \frac{8}{5} to both sides.

$$\frac{2}{5}x=y+\frac{8}{5}$$

Divide both sides of the equation by \frac{2}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{5}x}{\frac{2}{5}}=\frac{y+\frac{8}{5}}{\frac{2}{5}}$$

Dividing by \frac{2}{5} undoes the multiplication by \frac{2}{5}.

$$x=\frac{y+\frac{8}{5}}{\frac{2}{5}}$$

Divide y+\frac{8}{5} by \frac{2}{5} by multiplying y+\frac{8}{5} by the reciprocal of \frac{2}{5}.

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

Solve for y

$$y=\frac{2\left(x-4\right)}{5}$$

Solution Steps

Use the distributive property to multiply 2 by x-4.

$$y=\frac{2x-8}{5}$$

Divide each term of 2x-8 by 5 to get \frac{2}{5}x-\frac{8}{5}.

$$y=\frac{2}{5}x-\frac{8}{5}$$