Solve 5x/4-4x/3=2x/5

$$\frac { 5 x } { 4 } - \frac { 4 x } { 3 } = \frac { 2 x } { 5 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 4,3,5.

$$15\times 5x-20\times 4x=12\times 2x$$

Multiply 15 and 5 to get 75.

$$75x-20\times 4x=12\times 2x$$

Multiply -20 and 4 to get -80.

$$75x-80x=12\times 2x$$

Combine 75x and -80x to get -5x.

$$-5x=12\times 2x$$

Multiply 12 and 2 to get 24.

$$-5x=24x$$

Subtract 24x from both sides.

$$-5x-24x=0$$

Combine -5x and -24x to get -29x.

$$-29x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -29 is not equal to 0, x must be equal to 0.

$$x=0$$