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

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

Solve for x

$$x=-6$$

Steps for Solving Linear Equation

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

$$5\times 2x-3\left(2x+4\right)=3\times 2x$$

Multiply 5 and 2 to get 10.

$$10x-3\left(2x+4\right)=3\times 2x$$

Use the distributive property to multiply -3 by 2x+4.

$$10x-6x-12=3\times 2x$$

Combine 10x and -6x to get 4x.

$$4x-12=3\times 2x$$

Multiply 3 and 2 to get 6.

$$4x-12=6x$$

Subtract 6x from both sides.

$$4x-12-6x=0$$

Combine 4x and -6x to get -2x.

$$-2x-12=0$$

Add 12 to both sides. Anything plus zero gives itself.

$$-2x=12$$

Divide both sides by -2.

$$x=\frac{12}{-2}$$

Divide 12 by -2 to get -6.

$$x=-6$$