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

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

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

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

$$15x-9x+6=45-5\left(2x-5\right)$$

Combine 15x and -9x to get 6x.

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

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

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

Add 45 and 25 to get 70.

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

Add 10x to both sides.

$$6x+6+10x=70$$

Combine 6x and 10x to get 16x.

$$16x+6=70$$

Subtract 6 from both sides.

$$16x=70-6$$

Subtract 6 from 70 to get 64.

$$16x=64$$

Divide both sides by 16.

$$x=\frac{64}{16}$$

Divide 64 by 16 to get 4.

$$x=4$$