Solve x-5/4=2x/5

$$\frac { x - 5 } { 4 } = \frac { 2 x } { 5 }$$

Solve for x

$$x = -\frac{25}{3} = -8\frac{1}{3} \approx -8.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(x-5\right)=4\times 2x$$

Use the distributive property to multiply 5 by x-5.

$$5x-25=4\times 2x$$

Multiply 4 and 2 to get 8.

$$5x-25=8x$$

Subtract 8x from both sides.

$$5x-25-8x=0$$

Combine 5x and -8x to get -3x.

$$-3x-25=0$$

Add 25 to both sides. Anything plus zero gives itself.

$$-3x=25$$

Divide both sides by -3.

$$x=\frac{25}{-3}$$

Fraction \frac{25}{-3} can be rewritten as -\frac{25}{3} by extracting the negative sign.

$$x=-\frac{25}{3}$$