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

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

Solve for x

$$x=-38$$

Steps for Solving Linear Equation

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

$$15x-3\left(x-2\right)=5\left(2x-5\right)-45$$

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

$$15x-3x+6=5\left(2x-5\right)-45$$

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

$$12x+6=5\left(2x-5\right)-45$$

Use the distributive property to multiply 5 by 2x-5.

$$12x+6=10x-25-45$$

Subtract 45 from -25 to get -70.

$$12x+6=10x-70$$

Subtract 10x from both sides.

$$12x+6-10x=-70$$

Combine 12x and -10x to get 2x.

$$2x+6=-70$$

Subtract 6 from both sides.

$$2x=-70-6$$

Subtract 6 from -70 to get -76.

$$2x=-76$$

Divide both sides by 2.

$$x=\frac{-76}{2}$$

Divide -76 by 2 to get -38.

$$x=-38$$