Solve x-4x/5-(2/3)(x/5)=2x/15

$$x - 4 x / 5 - ( 2 / 3 ) ( x / 5 ) = 2 x / 15$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3,15.

$$15\left(x-\frac{4x}{5}\right)-2x=2x$$

Use the distributive property to multiply 15 by x-\frac{4x}{5}.

$$15x+15\left(-\frac{4x}{5}\right)-2x=2x$$

Cancel out 5, the greatest common factor in 15 and 5.

$$15x-3\times 4x-2x=2x$$

Multiply -3 and 4 to get -12.

$$15x-12x-2x=2x$$

Combine 15x and -12x to get 3x.

$$3x-2x=2x$$

Combine 3x and -2x to get x.

$$x=2x$$

Subtract 2x from both sides.

$$x-2x=0$$

Combine x and -2x to get -x.

$$-x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.

$$x=0$$