Solve y=2x-x/8+15

$$y = 2 x - \frac { x } { 8 } + 15$$

Solve for x

$$x=\frac{8\left(y-15\right)}{15}$$

Steps for Solving Linear Equation

Combine 2x and -\frac{x}{8} to get \frac{15}{8}x.

$$y=\frac{15}{8}x+15$$

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

$$\frac{15}{8}x+15=y$$

Subtract 15 from both sides.

$$\frac{15}{8}x=y-15$$

Divide both sides of the equation by \frac{15}{8}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{15}{8}x}{\frac{15}{8}}=\frac{y-15}{\frac{15}{8}}$$

Dividing by \frac{15}{8} undoes the multiplication by \frac{15}{8}.

$$x=\frac{y-15}{\frac{15}{8}}$$

Divide y-15 by \frac{15}{8} by multiplying y-15 by the reciprocal of \frac{15}{8}.

$$x=\frac{8y}{15}-8$$

Solve for y

$$y=\frac{15\left(x+8\right)}{8}$$

Solution Steps

Combine 2x and -\frac{x}{8} to get \frac{15}{8}x.

$$y=\frac{15}{8}x+15$$