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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

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

Multiply 3 and 2 to get 6.

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

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

$$6x-5x+25=15x-45$$

Combine 6x and -5x to get x.

$$x+25=15x-45$$

Subtract 15x from both sides.

$$x+25-15x=-45$$

Combine x and -15x to get -14x.

$$-14x+25=-45$$

Subtract 25 from both sides.

$$-14x=-45-25$$

Subtract 25 from -45 to get -70.

$$-14x=-70$$

Divide both sides by -14.

$$x=\frac{-70}{-14}$$

Divide -70 by -14 to get 5.

$$x=5$$