Solve 1/5x=10*4/5-2-x

$$\frac { 1 } { 5 } x = 10 \cdot \frac { 4 } { 5 } - 2 - x$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Express 10\times \frac{4}{5} as a single fraction.

$$\frac{1}{5}x=\frac{10\times 4}{5}-2-x$$

Multiply 10 and 4 to get 40.

$$\frac{1}{5}x=\frac{40}{5}-2-x$$

Divide 40 by 5 to get 8.

$$\frac{1}{5}x=8-2-x$$

Subtract 2 from 8 to get 6.

$$\frac{1}{5}x=6-x$$

Add x to both sides.

$$\frac{1}{5}x+x=6$$

Combine \frac{1}{5}x and x to get \frac{6}{5}x.

$$\frac{6}{5}x=6$$

Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.

$$x=6\times \frac{5}{6}$$

Cancel out 6 and 6.

$$x=5$$