Solve x=hpi+(pi/2+pi/4)

$$x = h \pi + ( \frac { \pi } { 2 } + \frac { \pi } { 4 } )$$

Solve for h

$$h=\frac{x}{\pi }-\frac{3}{4}$$

Steps for Solving Linear Equation

Combine \frac{\pi }{2} and \frac{\pi }{4} to get \frac{3}{4}\pi .

$$x=h\pi +\frac{3}{4}\pi$$

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

$$h\pi +\frac{3}{4}\pi =x$$

Subtract \frac{3}{4}\pi from both sides.

$$h\pi =x-\frac{3}{4}\pi$$

The equation is in standard form.

$$\pi h=x-\frac{3\pi }{4}$$

Divide both sides by \pi .

$$\frac{\pi h}{\pi }=\frac{x-\frac{3\pi }{4}}{\pi }$$

Dividing by \pi undoes the multiplication by \pi .

$$h=\frac{x-\frac{3\pi }{4}}{\pi }$$

Divide x-\frac{3\pi }{4} by \pi .

$$h=\frac{x}{\pi }-\frac{3}{4}$$

Solve for x

$$x=\pi h+\frac{3\pi }{4}$$

Solution Steps

Combine \frac{\pi }{2} and \frac{\pi }{4} to get \frac{3}{4}\pi .

$$x=h\pi +\frac{3}{4}\pi$$