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

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

Solve for x

$$x=\frac{5}{17}\approx 0.294117647$$

Steps for Solving Linear Equation

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

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

Multiply 10 and 4 to get 40.

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

Divide 40 by 5 to get 8.

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

Combine 8x and -x to get 7x.

$$\frac{1}{5}x=7x-2$$

Subtract 7x from both sides.

$$\frac{1}{5}x-7x=-2$$

Combine \frac{1}{5}x and -7x to get -\frac{34}{5}x.

$$-\frac{34}{5}x=-2$$

Multiply both sides by -\frac{5}{34}, the reciprocal of -\frac{34}{5}.

$$x=-2\left(-\frac{5}{34}\right)$$

Express -2\left(-\frac{5}{34}\right) as a single fraction.

$$x=\frac{-2\left(-5\right)}{34}$$

Multiply -2 and -5 to get 10.

$$x=\frac{10}{34}$$

Reduce the fraction \frac{10}{34} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{17}$$