Solve 2x-1/5-x-3/3=5/2

$$\frac { 2 x - 1 } { 5 } - \frac { x - 3 } { 3 } = \frac { 5 } { 2 }$$

Solve for x

$$x = \frac{51}{2} = 25\frac{1}{2} = 25.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,3,2.

$$6\left(2x-1\right)-10\left(x-3\right)=75$$

Use the distributive property to multiply 6 by 2x-1.

$$12x-6-10\left(x-3\right)=75$$

Use the distributive property to multiply -10 by x-3.

$$12x-6-10x+30=75$$

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

$$2x-6+30=75$$

Add -6 and 30 to get 24.

$$2x+24=75$$

Subtract 24 from both sides.

$$2x=75-24$$

Subtract 24 from 75 to get 51.

$$2x=51$$

Divide both sides by 2.

$$x=\frac{51}{2}$$