Solve 1/2x+2/3=3/2pi

$$\frac { 1 } { 2 } x + \frac { 2 } { 3 } = \frac { 3 } { 2 } \pi$$

Solve for x

$$x=3\pi -\frac{4}{3}\approx 8.091444627$$

Steps for Solving Linear Equation

Subtract \frac{2}{3} from both sides.

$$\frac{1}{2}x=\frac{3}{2}\pi -\frac{2}{3}$$

The equation is in standard form.

$$\frac{1}{2}x=\frac{3\pi }{2}-\frac{2}{3}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{\frac{3\pi }{2}-\frac{2}{3}}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$x=\frac{\frac{3\pi }{2}-\frac{2}{3}}{\frac{1}{2}}$$

Divide \frac{3\pi }{2}-\frac{2}{3} by \frac{1}{2} by multiplying \frac{3\pi }{2}-\frac{2}{3} by the reciprocal of \frac{1}{2}.

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