Solve 1/5(x-mu)-2x(1/3-1/5)=3/4x-2-x-frac{1}{60}x

$$\frac { 1 } { 5 } ( x - \mu ) - 2 x ( \frac { 1 } { 3 } - \frac { 1 } { 5 } ) = \frac { 3 } { 4 } x - 2 - x - \frac { 1 } { 60 } x$$

Solve for x

$$x=\mu -10$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{5} by x-\mu .

$$\frac{1}{5}x-\frac{1}{5}\mu -2x\left(\frac{1}{3}-\frac{1}{5}\right)=\frac{3}{4}x-2-x-\frac{1}{60}x$$

Subtract \frac{1}{5} from \frac{1}{3} to get \frac{2}{15}.

$$\frac{1}{5}x-\frac{1}{5}\mu -2x\times \frac{2}{15}=\frac{3}{4}x-2-x-\frac{1}{60}x$$

Multiply 2 and \frac{2}{15} to get \frac{4}{15}.

$$\frac{1}{5}x-\frac{1}{5}\mu -\frac{4}{15}x=\frac{3}{4}x-2-x-\frac{1}{60}x$$

Combine \frac{1}{5}x and -\frac{4}{15}x to get -\frac{1}{15}x.

$$-\frac{1}{15}x-\frac{1}{5}\mu =\frac{3}{4}x-2-x-\frac{1}{60}x$$

Combine \frac{3}{4}x and -x to get -\frac{1}{4}x.

$$-\frac{1}{15}x-\frac{1}{5}\mu =-\frac{1}{4}x-2-\frac{1}{60}x$$

Combine -\frac{1}{4}x and -\frac{1}{60}x to get -\frac{4}{15}x.

$$-\frac{1}{15}x-\frac{1}{5}\mu =-\frac{4}{15}x-2$$

Add \frac{4}{15}x to both sides.

$$-\frac{1}{15}x-\frac{1}{5}\mu +\frac{4}{15}x=-2$$

Combine -\frac{1}{15}x and \frac{4}{15}x to get \frac{1}{5}x.

$$\frac{1}{5}x-\frac{1}{5}\mu =-2$$

Add \frac{1}{5}\mu to both sides.

$$\frac{1}{5}x=-2+\frac{1}{5}\mu$$

The equation is in standard form.

$$\frac{1}{5}x=\frac{\mu }{5}-2$$

Multiply both sides by 5.

$$\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{\frac{\mu }{5}-2}{\frac{1}{5}}$$

Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.

$$x=\frac{\frac{\mu }{5}-2}{\frac{1}{5}}$$

Divide -2+\frac{\mu }{5} by \frac{1}{5} by multiplying -2+\frac{\mu }{5} by the reciprocal of \frac{1}{5}.

$$x=\mu -10$$

Solve for μ

$$\mu =x+10$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{5} by x-\mu .

$$\frac{1}{5}x-\frac{1}{5}\mu -2x\left(\frac{1}{3}-\frac{1}{5}\right)=\frac{3}{4}x-2-x-\frac{1}{60}x$$

Subtract \frac{1}{5} from \frac{1}{3} to get \frac{2}{15}.

$$\frac{1}{5}x-\frac{1}{5}\mu -2x\times \frac{2}{15}=\frac{3}{4}x-2-x-\frac{1}{60}x$$

Multiply 2 and \frac{2}{15} to get \frac{4}{15}.

$$\frac{1}{5}x-\frac{1}{5}\mu -\frac{4}{15}x=\frac{3}{4}x-2-x-\frac{1}{60}x$$

Combine \frac{1}{5}x and -\frac{4}{15}x to get -\frac{1}{15}x.

$$-\frac{1}{15}x-\frac{1}{5}\mu =\frac{3}{4}x-2-x-\frac{1}{60}x$$

Combine \frac{3}{4}x and -x to get -\frac{1}{4}x.

$$-\frac{1}{15}x-\frac{1}{5}\mu =-\frac{1}{4}x-2-\frac{1}{60}x$$

Combine -\frac{1}{4}x and -\frac{1}{60}x to get -\frac{4}{15}x.

$$-\frac{1}{15}x-\frac{1}{5}\mu =-\frac{4}{15}x-2$$

Add \frac{1}{15}x to both sides.

$$-\frac{1}{5}\mu =-\frac{4}{15}x-2+\frac{1}{15}x$$

Combine -\frac{4}{15}x and \frac{1}{15}x to get -\frac{1}{5}x.

$$-\frac{1}{5}\mu =-\frac{1}{5}x-2$$

The equation is in standard form.

$$-\frac{1}{5}\mu =-\frac{x}{5}-2$$

Multiply both sides by -5.

$$\frac{-\frac{1}{5}\mu }{-\frac{1}{5}}=\frac{-\frac{x}{5}-2}{-\frac{1}{5}}$$

Dividing by -\frac{1}{5} undoes the multiplication by -\frac{1}{5}.

$$\mu =\frac{-\frac{x}{5}-2}{-\frac{1}{5}}$$

Divide -\frac{x}{5}-2 by -\frac{1}{5} by multiplying -\frac{x}{5}-2 by the reciprocal of -\frac{1}{5}.

$$\mu =x+10$$