Solve (x*10+1/2x)-(1/2x*10+x)=36

$$( x \cdot 10 + \frac { 1 } { 2 } x ) - ( \frac { 1 } { 2 } x \cdot 10 + x ) = 36$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Combine x\times 10 and \frac{1}{2}x to get \frac{21}{2}x.

$$\frac{21}{2}x-\left(\frac{1}{2}x\times 10+x\right)=36$$

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$\frac{21}{2}x-\left(\frac{10}{2}x+x\right)=36$$

Divide 10 by 2 to get 5.

$$\frac{21}{2}x-\left(5x+x\right)=36$$

Combine 5x and x to get 6x.

$$\frac{21}{2}x-6x=36$$

Combine \frac{21}{2}x and -6x to get \frac{9}{2}x.

$$\frac{9}{2}x=36$$

Multiply both sides by \frac{2}{9}, the reciprocal of \frac{9}{2}.

$$x=36\times \frac{2}{9}$$

Express 36\times \frac{2}{9} as a single fraction.

$$x=\frac{36\times 2}{9}$$

Multiply 36 and 2 to get 72.

$$x=\frac{72}{9}$$

Divide 72 by 9 to get 8.

$$x=8$$